Approximate Analytical Solutions for the Circular Restricted Three-Body Problem Including Non-Hamiltonian Solar Radiation Pressure

Kavli Affiliate: David W. Miller

| First 5 Authors: Hailee Hettrick, David W. Miller, Begum Cannataro, ,

| Summary:

The circular restricted three-body problem (CR3BP) with solar radiation
pressure (SRP) has often been analyzed with assumptions made on a spacecraft’s
attitude, such that the problem remains Hamiltonian. These assumptions are
unsatisfactorily limiting for a starshade mission since the starshade’s
attitude will inherently vary from the configuration that corresponds to
Hamiltonian dynamics. This paper presents the derivation of the equations of
motion for CR3BP with SRP that permit the application of the Lindstedt-Poincare
method, such that approximate solutions are produced, which may serve as
invaluable trajectory design tools. Examples of periodic orbits and manifolds
corresponding to three sets of attitude angles are shown and the accuracy of
their seventh-order approximations is considered.

| Search Query: ArXiv Query: search_query=au:”David W. Miller”&id_list=&start=0&max_results=3

Read More