Egerton University • Faculty of Engineering & Technology

Satellite Launching: A Comprehensive Study Guide

Course EEEN 567 — Satellite Engineering • Prepared for 5th Year Undergraduate Electrical Engineering Students. Covers launch vehicles, rocket propulsion, orbital mechanics of ascent, launch operations, and the electrical engineering systems that make a launch possible.

EEEN 567 Satellite Engineering 5th Year BSc. Electrical Engineering Launch Systems & Orbital Mechanics

1. Learning Objectives

By the end of this study guide, the student should be able to:

  1. Explain the purpose and functions of satellite launch vehicles and classify the major families of launchers.
  2. Apply the Tsiolkovsky rocket equation to determine the velocity capability and mass budget of a launch vehicle.
  3. Describe the multistage ascent profile from lift-off to payload separation, including gravity, drag and steering losses.
  4. Compute circular and escape orbital velocities and plan a Hohmann transfer from low Earth orbit (LEO) to geostationary orbit (GEO).
  5. Compare launch sites worldwide and justify site selection using latitude, azimuth and safety criteria.
  6. Identify the electrical engineering subsystems involved in a launch: telemetry, tracking & command (TT&C), flight computers, power conditioning and pyrotechnic circuits.
  7. Analyse the mechanical and thermal launch environments (vibration, acoustic noise, acceleration) that a satellite must survive.
  8. Evaluate modern trends including reusable launch vehicles, rideshare missions and small-satellite launchers.

2. Introduction to Satellite Launching

A satellite launch is the engineered process of delivering a spacecraft from the surface of the Earth to its intended orbit (or beyond) using a launch vehicle — a rocket whose sole mission ends when the payload is released on the correct trajectory. For an electrical engineering student, launching is where several disciplines converge: control systems steer the vehicle, communication systems maintain the telemetry and command link, power electronics feed the avionics, and signal processing extracts navigation solutions from sensors.

Every orbital launch is fundamentally an energy management problem. To reach a 400 km circular orbit, a vehicle must lift the payload against gravity (potential energy), accelerate it to roughly 7.7 km/s (kinetic energy), and overcome atmospheric drag and steering losses along the way. Because a rocket must also carry its own propellant — and propellant is needed to lift propellant — the required vehicle is far larger than the payload: a typical ratio is that the payload is only 2–4% of the lift-off mass.

Key Concept A launch vehicle is a controlled, multi-stage chemical-energy machine that converts propellant into thrust, and converts thrust into precise orbital energy for the payload. Nothing is "left to chance": every second of ascent is pre-computed, and every major event is monitored by redundant electrical systems.

Why study launching in a satellite engineering course?

  • Mission design starts at launch: the orbit achievable, the mass of the satellite, and even its structural design are dictated by the launcher.
  • The satellite must survive the launch before it can do any work in orbit (see Section 9 on launch environment).
  • Electrical systems are central: guidance, telemetry, sequencing, power and ordnance are all EE domains.
  • Cost and scheduling: launch is typically 20–40% of total mission cost; launch delays cascade into spacecraft design freezes.

3. Launch Vehicles and Their Classification

3.1 Classification by number of stages and reuse

Expendable Launch Vehicles (ELV)

Every stage is discarded after burnout. Historically dominant (Ariane 5, Proton, Long March families, PSLV). Simple, reliable, but hardware is lost every flight.

Reusable Launch Vehicles (RLV)

Some or all stages are recovered and reflown. SpaceX Falcon 9 first-stage landings (land or drone ship) and Blue Origin New Shepard are flagship examples. Reuse shifts cost from manufacturing to refurbishment and operations.

3.2 Classification by lift capability

ClassPayload to LEOTypical vehiclesTypical use
Small-lift< 2 000 kgElectron, Vega, LauncherOneCubesats, smallsats, dedicated rides
Medium-lift2 000 – 20 000 kgFalcon 9, Soyuz-2, PSLV/GSLVComms constellations, ISS cargo, science
Heavy-lift20 000 – 50 000 kgFalcon Heavy, Ariane 64, Long March 5GEO comsats, deep-space probes, modules
Super-heavy> 50 000 kgSpaceX Starship, NASA SLS, Long March 9 (dev.)Moon/Mars logistics, mega-constellations

3.3 Classification by propellant type

TypeExamplesProsCons
SolidAPCP boosters (Ariane SRB, SLS boosters)Simple, storable, high thrust density, instant readinessLower Isp (~260–290 s), cannot throttle or restart
Liquid (hypergolic)MMH/N₂O₄, UDMH/N₂O₄Storable, restartable, simple ignitionToxic; modest Isp (~310–340 s)
Liquid (cryogenic)LOX/LH₂ (Vulcan upper stage, Ariane 6)Highest Isp (~420–460 s)Boil-off, complex ground handling, low density
Liquid (kerosene)LOX/RP-1 (Falcon 9, Soyuz)Good Isp (~300–350 s), dense, flight-provenCoking, slightly lower performance than H₂

3.4 Major launch systems (selected)

  • Falcon 9 (SpaceX): two-stage LOX/RP-1, ~22.8 t to LEO; first stage routinely recovered; dominates commercial launch today.
  • Ariane 6 (ESA/Arianespace): European heavy launcher replacing Ariane 5, with restartable Vinci upper stage (LOX/LH₂).
  • Long March families (CNSA): workhorse of China's programme; LM-5 heavy lift supports space-station and deep-space missions.
  • PSLV / LVM3 (ISRO): India's reliable medium/heavy vehicles; PSLV famous for high mission success and rideshare records.
  • Soyuz-2 (Roscosmos): heritage R-7 design; launched from Baikonur, Plesetsk and Kourou.
  • Starship / SLS: super-heavy class enabling crewed lunar return (Artemis) and interplanetary logistics.
Note for students Launch capability is always quoted against an orbit and inclination (e.g., "22.8 t to 200 km LEO at 28.5°"). Because of Earth's rotation, the same vehicle lifts less to polar or high-inclination orbits. Always read the fine print of a launcher's performance figures.

4. Rocket Fundamentals for Launch

4.1 Thrust

Thrust is produced by expelling propellant at high velocity (Newton's third law), plus the pressure thrust at the nozzle exit:

F = ṁ · ve + (pe − pa) · Ae

F = thrust (N) • ṁ = propellant mass flow (kg/s) • ve = effective exhaust velocity (m/s) • pe, pa = nozzle exit and ambient pressure (Pa) • Ae = exit area (m²)

4.2 Specific impulse

Specific impulse, Isp, measures propellant efficiency — thrust per unit weight-flow of propellant:

Isp = Fṁ · g₀ ,    ve = Isp · g₀

g₀ = 9.81 m/s² (standard gravity). Higher Isp means more velocity per kilogram of propellant.

4.3 The Tsiolkovsky (ideal rocket) equation

The fundamental sizing equation of any launch vehicle relates achievable velocity change to exhaust velocity and the ratio of initial to final mass:

Δv = ve · ln m₀mf = Isp · g₀ · ln(R)

Δv = velocity change (m/s) • m₀ = initial (wet) mass • mf = final (dry + payload) mass • R = mass ratio m₀/mf

Key Concept The logarithm is brutal: to double Δv, you must square the mass ratio. This is why rockets are mostly propellant (typically 80–90% of lift-off mass) and why staging is essential.

4.4 Why stages are needed

Once a stage's tanks are empty, their structure is dead mass. Discarding it (staging) improves the mass ratio of what remains. Optimum staging sizes each stage so that Δv contributions roughly balance structural and propellant fractions. Typical allocations:

StageTypical ΔvNotes
First stage2 – 3.5 km/sFights gravity and drag; high thrust, low altitude
Second stage4 – 5 km/sMost of the orbital velocity is built here (near-vacuum Isp)
Upper / transfer stage2 – 3.5 km/sPerigee/apogee burns, GTO insertion, restart capability

Total ideal Δv ≈ 9.3 – 10 km/s is required from the vehicle to reach LEO, because roughly 1.5 – 2 km/s is lost to gravity and drag — the ideal (equation) Δv must cover both.

4.5 Launch mass budget (typical two-stage example)

ComponentFraction of lift-off mass
Propellant≈ 85 – 90 %
Structures & engines≈ 6 – 10 %
Payload (including adapter)≈ 2 – 4 %
Electrical Engineering Link Thrust vector control (TVC) — gimbaling engines or using vernier thrusters — is closed-loop control actuated by hydraulic or electric servos driven from the flight computer. Closed-loop guidance uses accelerometers and rate gyros (IMU) integrated with GPS in many modern vehicles; as an EE student you will recognise these as sampled-data control systems with Kalman-filter state estimation.

5. Ascent Trajectories and Orbital Mechanics of Launch

5.1 The ascent profile

An orbital launch is not a vertical climb — it is a controlled pitch-over that trades altitude for horizontal velocity. A typical profile:

  1. Vertical rise (0–15 s): clear the launch pad and towers before any steering.
  2. Pitch-over / gravity turn: the vehicle slowly rotates toward the horizon so thrust (and later gravity) gradually builds horizontal velocity — an energy-efficient compromise between fighting gravity and gaining speed.
  3. Max-Q: maximum dynamic pressure, q = ½ρv². Throttle-down protects the vehicle and payload; after this, engines throttle back up.
  4. MECO & staging: Main Engine Cut-Off, stage separation, second-stage ignition.
  5. Second-stage burn to orbit: performed above the sensible atmosphere, near-vacuum nozzle, possibly coast-and-restart to reach the precise target orbit.
  6. Payload separation: the satellite is released on the target orbit; the stage usually performs a collision-avoidance / de-orbit manoeuvre.
Max-Q MECO + staging Payload separation (orbit) Vertical rise Gravity turn (pitch programme) Second-stage burn Earth's surface

5.2 Velocities that define the mission

vcirc = √( μr ) ,    vesc = √( 2μr ) = √2 · vcirc

μEarth = 3.986 × 10¹⁴ m³/s² • r = radius from Earth's centre (m). vcirc at 400 km ≈ 7.67 km/s; escape velocity ≈ 10.9 km/s there.

5.3 Launch azimuth and the benefit of Earth's rotation

Launching eastward exploits Earth's rotation, providing a free velocity bonus:

vrot = ωE · RE · cos(lat) ≈ 465 · cos(lat) m/s
Launch siteLatitudeRotational bonus (east)
Equator (e.g., Sea Launch)0°≈ 465 m/s
Kourou (Ariane)5.2° N≈ 463 m/s
Kennedy / Cape Canaveral28.5° N≈ 409 m/s
Baikonur45.9° N≈ 324 m/s
Plesetsk62.8° N≈ 213 m/s

The target orbit inclination sets the launch azimuth (for a direct ascent, cos i = cos lat · sin Az, ignoring Earth's rotation). Sites far from the equator cannot reach low inclinations directly, which is why GTO missions favour Kourou.

5.4 From LEO to GEO: the Hohmann transfer

Geostationary satellites are usually injected into a Geostationary Transfer Orbit (GTO) — a highly elliptical orbit with perigee in LEO and apogee at GEO altitude (35 786 km). An apogee motor (or electric propulsion over months) then circularises at GEO.

Δv₁ = √( μr₁ ) · [ √( 2r₂r₁+r₂ ) − 1 ]
ttransfer = π · √( (r₁+r₂)³8μ )   (one half of the transfer ellipse period)

r₁ = perigee radius (LEO) • r₂ = apogee radius (GEO = 42 164 km from Earth's centre)

Worked reference (400 km LEO → GEO): Δv₁ ≈ 2.45 km/s, Δv₂ (at apogee) ≈ 1.47 km/s, transfer time ≈ 5.26 hours. Try the calculator in Section 12.

Key Concept "Direct GEO insertion" by a cryogenic upper stage (e.g., Ariane 5/6, Falcon Heavy to GTO+) removes the need for an apogee motor — saving the satellite's own propellant and extending on-orbit lifetime — at the price of a more demanding launch.

6. The Launch Campaign: From Assembly Pad to Separation

A space launch is a months-long campaign, not just ten minutes of flight. The condensed sequence:

  • Payload arrives at the launch site; fit-check, mass properties measurement and electrical interface verification.
  • Propellant loading plans, ordnance installation, battery charging, flight software upload.
  • Combined vehicle + payload testing: end-to-end RF link checks, separation-system tests.
  • Fuelling begins (LOX first, RP-1/kero for Falcon 9; hypergolics loaded earlier for some vehicles).
  • Range clearance, weather go/no-go, flight termination system (FTS) arming.
  • Final telemetry verification with ground stations; automatic sequence takes over at ~T−4 min.
  • Ignition, hold-down release, liftoff; vertical rise then gravity turn (Section 5).
  • Max-Q throttle-down; MECO; stage separation; second-stage ignition.
  • Fairing jettison (~T+3 min, altitude > 100 km) — the payload is now exposed to space.
  • Second (or third) burn(s) to target orbit; precise velocity/attitude at cut-off.
  • Payload separation: clamp-band release, springs push the satellite away; separation confirmed by telemetry and cameras.
  • Launch and Early Orbit Phase (LEOP): first hours-days — acquisition of signal (AOS), detumbling, solar-array deployment, antenna deployment.
  • Satellite health checks via TT&C; orbit determination by ranging; first manoeuvres (apogee raise for GTO missions).
  • Handover from launch team to operations team after commissioning.
Electrical Engineering Link The "auto-sequence" in Phase 2 is a hard real-time distributed control system: hundreds of sensors (pressure, temperature, valve position, voltages, currents) polled at high rate, with voting logic and automatic aborts — classic examples of redundant, fault-tolerant embedded design. The Flight Termination System (FTS) is an independent radio-command receiver that destructs the vehicle if it leaves the safe corridor — an avionics safety subsystem governed by strict standards (e.g., RCC 319).

7. Launch Sites and Site Selection

7.1 Selection criteria

  • Latitude: low latitude maximises eastward rotational assist and access to low inclinations (hence Kourou's dominance for GTO).
  • Azimuth corridors: downrange must be ocean or sparsely populated land (debris risk); this is why launches head east over ocean.
  • Logistics & safety: propellant transport, buffer zones, lightning climatology (Cape Canaveral's afternoon storms drive many scrubs).
  • Tracking & telemetry: downrange ground stations, TDRS relay satellites, tracking ships.
  • Political/economic: national programmes vs commercial spaceports (e.g., spaceports proliferating in the USA, UK, and emerging sites worldwide).
SiteCountryLatitudePrimary use
Kennedy / Cape CanaveralUSA28.5° NFalcon 9/Heavy, Vulcan, New Glenn
VandenbergUSA34.7° NPolar / SSO launches (Starlink, imaging sats)
Kourou (CSG)French Guiana5.2° NAriane 6, Vega, Soyuz (historically)
BaikonurKazakhstan45.9° NSoyuz crewed & cargo, Proton
Jiuquan / Xichang / WenchangChina~28° N / 28° N / 19° NLong March family; Wenchang newest coastal site
Satish Dhawan (Sriharikota)India13.7° NPSLV, LVM3 (Gaganyaan crewed)
Guiana / sea platforms / air-launchVarious—Mobile concepts move the site to the optimum latitude
Note for students Kenya's equatorial location (e.g., proposed launch sites at the coast) offers one of the world's best rotational bonuses (~465 m/s). Regional space programmes across Africa are evaluating such advantages — a relevant case for Egerton students to follow in East African space development.

8. Electrical Engineering Systems in a Launch Vehicle

Modern launch vehicles are "flying computer networks with engines attached". The main EE subsystems:

SubsystemFunctionEE topics involved
Guidance, Navigation & Control (GNC)Compute position/velocity/attitude; steer along the reference trajectory; command TVCState estimation (Kalman filters), digital control, IMU/GPS fusion
Flight computersRun the real-time OS, sequencing, redundancy managementFault-tolerant computing, triple modular redundancy, voting
Telemetry, Tracking & Command (TT&C)Downlink thousands of channels (pressures, temps, tank levels, bus voltages); uplink commands; rangingModulation (PCM/FM, spread spectrum), link budget, antennas
Power systemsBatteries + DC/DC converters power avionics; pyro batteries separate for ordnancePower electronics, battery management, EMC design
Pyrotechnics / ordnanceStage separation, fairing jettison, engine ignition chargesSquib firing circuits, current-limiting, ESD protection
Sensors & data acquisitionPressure transducers, thermocouples/RTDs, accelerometers, rate gyros, valve positionSignal conditioning, ADCs, multiplexing, sampling theory
RF & antennasS-band/C-band telemetry, GPS L-band, FTS receivers, inter-stage linksAntenna theory, link budgets, RFI/EMC compliance

8.1 A typical telemetry chain (block-diagram view)

Sensorstemp / press / volt SignalConditioningamp / filter / ADC MUX + FrameFormat (PCM)time-division ModulatorPCM/FM, S-band TX Antennato ground stations Flight software attaches a sync word + time stamp; the ground station demodulates, decommutates and routes channels to displays and the abort logic.
Electrical Engineering Link Notice how the launch telemetry chain is exactly the digital communications system you study in EEEN courses: source → channel coding → modulation → RF — except the "channel" is a rapidly accelerating rocket, so Doppler shift and antenna pattern variation must be handled in the link budget. A launch vehicle downlink typically runs 1–20 Mbit/s depending on the vehicle.

9. The Launch Environment — What the Satellite Must Survive

Launch is the most severe mechanical event in a satellite's life. Structural and electrical designers must qualify the spacecraft against:

EnvironmentTypical levels / durationDesign consequence
Quasi-static acceleration3 – 6 g axial, 1 – 2 g lateral (min ~80 s)Stiff structures; proof-load factor ~1.25 on coupled loads
Sinusoidal vibration (liftoff / engine cutoff)~0.5 – 1.5 g, 5 – 100 HzQualification by sine sweep on shaker
Random vibration (acoustic + engine noise)~14 – 17 grms overall, 20 – 2000 Hz, inside fairingComponent mounting, potting, connector locking
Acoustic noise~140 – 146 dB OASPL near liftoffLightweight panel design, acoustic blankets in fairing
Shock (separation / pyro events)Hundreds to thousands of g at source, kHz frequenciesShock isolation, avoid pyro-sensitive optics nearby
Pressure & venting0 → vacuum in ~3 min after fairing jettisonVenting paths; prevent "satellite explosion" from trapped air
ThermalFairing solar soak to cold soak swingsHeaters/blankets; thermal vacuum (TVAC) test
EMCVehicle transmitters, radar, FTSEMI hardening; radiated/ conducted susceptibility tests

Standard verification: workmanship (random vibe + thermal cycle), qualification (1.25× environments, protoflight or dedicated QM model), and acceptance testing of the flight unit. Environmental test standards: SMC-S-016, GSFC-STD-7000, ECSS-E-ST-32.

Design rule The fundamental frequency of the satellite mounted on its adapter must be above ~100 Hz (often ~120 Hz) to decouple it from launcher modes — a simple rule that drives much of the structural design of small satellites.

10. Case Studies and Modern Trends

10.1 Falcon 9 rideshare and reusability economics

First-stage recovery and reflight (10+ flights per booster in routine service) reduced marginal launch cost dramatically, enabling rideshare programmes where many smallsats fly as secondary payloads. Electrical engineering highlight: landing uses grid fins (aerodynamic control), throttleable Merlin engines, and real-time GNSS/INS fusion — closed-loop control landing a 25-storey building on a drone ship.

10.2 Ariane 6 vs Ariane 5

Ariane 5 famously flew two-satellite GTO missions to GEO (dedicated dual launch). Ariane 6 adds a restartable Vinci cryogenic upper stage and a re-ignitable third stage option (A64 vs A62), restoring European autonomous access to space while cutting cost per kg.

10.3 Small launchers and air-launch

Electron (Rocket Lab) pioneered the dedicated smallsat class; LauncherOne (air-launched from a Boeing 747) showed mobile launch concepts. Air launch gives latitude/azimuth freedom and avoids weather scrubs at a fixed pad — at the cost of payload mass.

10.4 Emerging themes to watch

  • Starship-class fully reusable super-heavy vehicles → order-of-magnitude cost changes and new payload classes.
  • Mega-constellations (Starlink, OneWeb, Kuiper) driving weekly launch cadence — manufacturing-rate, not mission-rate, engineering.
  • Green propulsion (methalox, hydrogen peroxide) and responsive/rapid launch for defence and disaster response.
  • On-orbit servicing and space tugs changing the value chain after separation.
Key Concept The launch industry is converging on the aviation model: high cadence, fleet management of reused boosters, and continuous process improvement. For an EE graduate, that means launch avionics increasingly resemble certified, productionised airborne electronics — a growing job market.

11. Interactive Learning Calculators

Use these to check the worked examples and explore "what-if" questions from your tutorials.

11.1 Tsiolkovsky Rocket Equation

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11.2 Circular & Escape Velocity

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11.3 Hohmann Transfer (LEO → GEO)

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11.4 Rotational Bonus & Required Ideal Δv to LEO

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12. Review Questions

Attempt each question, then reveal the answer. Questions are typical of EEEN 567 continuous assessment.

Q1. The Tsiolkovsky rocket equation shows that to double a stage's Δv capability (at fixed Isp), the mass ratio R = m₀/mf must be:

Δv = ve ln R. Since ln(R²) = 2 ln R, doubling Δv requires R². This logarithmic law is the fundamental reason rockets are dominated by propellant mass.

Q2. During ascent, "Max-Q" refers to the point of maximum:

Max-Q is peak aerodynamic loading — density is still significant while velocity is already high. Vehicles throttle down through it to limit structural and acoustic loads on the payload.

Q3. A launch site on the equator launching due east gains approximately what rotational velocity bonus?

vrot = ωEREcos(lat) ≈ 465 m/s at the equator. This is why Kourou (5°N) and equatorial sea-launch concepts are favoured for GTO missions.

Q4. In the telemetry chain of a launch vehicle, the function of the frame synchronisation word is to:

PCM telemetry is a time-division multiplex of many channels; the receiver finds frames by correlating against a known sync pattern — directly analogous to frame sync in digital comms coursework.

Q5. GTO (Geostationary Transfer Orbit) insertion requires a perigee-raising burn at apogee of approximately:

For 400 km LEO → GEO, Δv₂ ≈ 1.47 km/s at apogee (Δv₁ ≈ 2.45 km/s at perigee), transfer time ≈ 5.26 h — verify with calculator 11.3.

Q6. Which electrical subsystem is responsible for destructing the vehicle if it leaves the approved flight corridor?

The FTS is an independent, arming-safe receiver/command chain whose sole purpose is public safety — it is deliberately kept separate from the flight avionics so that a flight-computer failure cannot disable it.

Q7. Why is the satellite's first longitudinal natural frequency required to be above ~100 Hz when mounted on the launch adapter?

Coupled-loads analysis treats launcher + payload as one dynamic system; a stiff payload above ~100 Hz (often 120 Hz requirement) keeps participation factors low, simplifying loads prediction and qualification.

Q8. Cryogenic LOX/LH₂ upper stages are preferred for high-energy orbits mainly because hydrogen offers:

High Isp means more Δv per kilogram — critical when the stage's own dry mass must be carried all the way. Hydrogen's low density makes tanks large (the Shuttle ET look), which is the trade-off.

Summary of Key Takeaways

  1. Launch vehicles convert propellant into orbital energy; the payload is typically only 2–4% of lift-off mass because of the logarithmic rocket equation.
  2. Ascent is a gravity turn to orbit velocity (~7.7 km/s at 400 km), with ~1.5–2 km/s lost to gravity and drag, hence ~9.3–10 km/s ideal Δv from the vehicle.
  3. Site latitude sets the rotational assist and reachable inclinations; Kourou's 5°N latitude is a major economic advantage for GTO.
  4. GEO missions use a Hohmann transfer via GTO (Δv₁ ≈ 2.45, Δv₂ ≈ 1.47 km/s from 400 km), or direct insertion by a cryogenic upper stage.
  5. Launch is an electrical engineering showcase: GNC, flight computers, PCM telemetry, power conditioning, pyrotechnics and the safety-critical FTS.
  6. The payload must be verified against vibration, acoustic, shock and thermal environments — environmental testing is a contractual deliverable, not an option.