A RECURRENCE RELATION FOR INCLINATION FUNCTIONS.

Abstract

When the terms of the series expansion for the gravitational potential of the earth are expressed in terms of the orbital elements of an arbitrary earth satellite, the orbital inclination, i, appears in each term as the argument of a function of inclination only. For the special case when the field is axi-symmetric, studied in an earlier paper, a recurrence relation was given for a normalized inclination function, A(sup K sub l)(i), with two parameters. The present paper gives a recurrence relation for a general normalized function, (A sup K)(sub lm)(i), with three parameters. (Author)

Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1970
Accession Number
AD0711274

Entities

People

  • Robert H. Gooding

Organizations

  • Royal Aircraft Establishment

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Artificial Satellites
  • Mathematics
  • Orbital Elements
  • Orbital Inclination

Readers

  • Fluid Dynamics.
  • Linear Algebra
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Orbital Debris