Course Objectives

• Understand the basic concepts of space mechanics and the general N- body.

• Study satellite injection and satellite orbit perturbations.

• Acquire the knowledge of interplanetary and ballistic missile trajectories.

Learning Outcomes

• Understand solar time solar system and associated basic terms

• Gain Knowledge of satellite orbits relation between position and time.

• Understand satellite orbit transfer, special

• Can know about the various phases in missile

• Able to learn about the spacecraft trajectories between planets

Course Syllabus

Module I: BASIC CONCEPTS                                                 (4 hrs)

The solar system, Reference frame and coordinate, the celestial sphere, the ecliptic , sidereal

time, solar time, standard time, the earth atmosphere

 Module II: SPACE ENVIRONMENT                                  (4hrs)

Peculiarities of space environment and its description, effect of space environment on materials of spacecraft structure and astronauts, manned space missions, effect on satellite lifetime.

 Module III: THE GENERAL N-BODY PROBLEM            (5hrs)

The many body problem, circular restricted three body problem, liberation points, two body

problem, satellite orbits, relation between position and time, orbital element

 Module IV: SATELLITE INJECTION                                 (3hrs)

General Aspects of satellite Injections, Satellite Orbit Transfer, Various Cases, Orbit Deviations Due to Injection Errors

Module V: SATELLITE ORBIT PERTURBATIONS          (4rs)

Special and General Perturbations, Cowell’s Method, Encke’s Method, Method of vibrations of Orbital Elements, General Perturbations Approach

Module VI: INTERPLANETARY TRAJECTORIES      (5hrs)

Two dimensional interplanetary trajectories, Fast interplanetary trajectories, three dimensional interplanetary trajectories, Launch of Interplanetary spacecraft, Trajectory about the target planet.

Module VII: Rocket Performance                                        (4hrs)

The boost phase, the ballistic phase, trajectory geometry, optimal flights, time of flight, re-entry phase, the position of the impact point , influence coefficients.

 Text Books:

1. Cornelisse, J.W., Rocket Propulsion and Space Dynamics, W.H. Freeman & co, 1984.

2. Thomson, Introduction to Space Dynamics, Dover Publications,Revised edition, 2012.

Reference Books:

1. Van de Kamp, P., "Elements of Astromechanics", Pitman, 1979

2. Willian E. Wiesel, Space Flight Dynamics, Create Space Independent Publishing Platform, 3rd Edition,2010,ISBN-13: 978-1452879598

3. George P. Sutton and Oscar Biblarz, Rocket Propulsion Elements,Wiley India Pvt Ltd,7th edition, 2010,ISBN-13: 978-8126525775.

Session Plan

Session 1

The solar system

https://www.youtube.com/watch?v=libKVRa01L8

solar system

Session 2

Reference frame and coordinate, the celestial sphere, the ecliptic

https://www.youtube.com/watch?v=FHDq5LvPUIo

Celestial_Sphere

Session 3

Peculiarities of space environment and its description

Session 4

effect of space environment on materials of spacecraft structure and astronauts,

space env

space env 2

Session 5

manned space missions, effect on satellite lifetime

Session 6

The many body problem

https://www.youtube.com/watch?v=ElE4SvxvK4c

Session 7

circular restricted three body problem, liberation points

https://www.youtube.com/watch?v=xDLiUe8XYL0

https://www.youtube.com/watch?v=jarcgP1rRWs

solar systemThree body Prob

Session 8

satellite orbits, relation between position and time

https://www.youtube.com/watch?v=dNyqV86vn_Y

satellite orbits

Session 9

General Aspects of satellite Injections, Satellite Orbit Transfer

https://www.youtube.com/watch?v=lGoVy44C3cA

Orbit Transfer

Session 10

Orbit Deviations Due to Injection Errors

Session 11

Special and General Perturbations, Cowell’s Method, Encke’s Method

Perturbation

Session 12

Cowell’s Method, Encke’s Method

Session 13

Method of vibrations of Orbital Elements, General Perturbations Approach

Perturbation

Session 14

Two dimensional interplanetary trajectories

interplanetary trajectories

Session 15

Fast interplanetary trajectories, three dimensional interplanetary trajectories

Session 16

Launch of Interplanetary spacecraft, Trajectory about the target planet.

Session 17

The boost phase, the ballistic phase

Three-Stages-of-the-Inter-Continental-Ballistic-Missile-Flight

https://www.youtube.com/watch?v=VwVNgKuQzz4

Session 18

trajectory geometry, optimal flights, time of flight, re-entry phase

trajectory geometry

re-entry phase

https://www.youtube.com/watch?v=j1vmVJKqUFE

Session 19

the position of the impact point.

impact point

Case Studies

Case Studies