Foundations of Space Dynamics - Ashish Tewari

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Lagrange Planetary Equations 9.5 Gauss Variational Model 9.6 Variation of Vectors 9.7 Mean Orbital Perturbation 9.8 Orbital Perturbation Due to Oblateness 9.9 Effects of Atmospheric Drag 9.10 Third‐Body Perturbation 9.11 Numerical Methods for Perturbed Keplerian Motion Exercises References

      16  10 Three‐Body Problem 10.1 Equations of Motion 10.2 Particular Solutions by Lagrange 10.3 Circular Restricted Three‐Body Problem 10.4 Non‐dimensional Equations in the Synodic Frame 10.5 Lagrangian Points and Stability 10.6 Orbital Energy and Jacobi's Integral 10.7 Canonical Formulation 10.8 Special Three‐Body Trajectories Exercises Reference

      17  11 Attitude Dynamics 11.1 Euler's Equations of Attitude Kinetics 11.2 Attitude Kinematics 11.3 Rotational Kinetic Energy 11.4 Principal Axes 11.5 Torque‐Free Rotation of Spacecraft 11.6 Precession and Nutation 11.7 Semi‐Rigid Spacecraft 11.8 Solution to Torque‐Free Euler's Equations 11.9 Gravity‐Gradient Stabilization Exercises

      18  12 Attitude Manoeuvres 12.1 Impulsive Manoeuvres with Attitude Thrusters 12.2 Attitude Manoeuvres with Rotors Exercises References

      19  ANumerical Solution of Ordinary Differential Equations A.1 Fixed‐Step Runge‐Kutta Algorithms A.2 Variable‐Step Runge‐Kutta Algorithms A.3 Runge‐Kutta‐Nyström Algorithms References

      20  BJacobian Elliptic Functions Reference

      21  Index

      22  End User License Agreement

      List of Tables

      1 Chapter 1Table 1.1 Variation of density with altitude in Earth's atmosphere

      2 Chapter 3Table 3.1 Two‐body orbits.

      3 Chapter 4Table 4.1 Iteration steps for the solution of Kepler's equation by Newton's m...Table 4.2 Bessel functions of the first kind and orderimages .Table 4.3 Iteration steps for the solution of the hyperbolic Kepler's equatio...Table 4.4 Iteration steps for the solution of the universal Kepler's equation...

      4 Chapter 6Table 6.1 The specific impulse,images , of some chemical rocket propellants

      5 Chapter 7Table 7.1 Comparison of relative position and velocity in a geosynchronous or...

      6 Chapter 8Table 8.1 Time of flight,images , for a transfer between images and images with a chord lengt...

      7 Chapter 9Table 9.1 Non‐zero Lagrange brackets for a perturbed elliptic orbit.Table 9.2 The oblateness parameter,images , of some major bodies.Table 9.3 The inclination angle for Sun‐synchronous spacecraft in circular or...Table 9.4 Mass ratio to the solar mass, average distance from the sun, and th...

      8 1Table A.1 Coefficients of the Runge‐Kutta 4(5) algorithm

      List of Illustrations

      1 Chapter 1Figure 1.1 Decay in the orbit due to atmospheric drag for a spacecraft initi...Figure 1.2 Decay in the orbit due to atmospheric drag for a spacecraft initi...Figure 1.3 The equinoctial sidereal frame images , the ecliptic synodic frame images , a...

      2 Chapter 2Figure 2.1 The position vector, images , of a particle resolved in an inertial ref...Figure 2.2 A system of Скачать книгу