Accession Number:

AD0711274

Title:

A RECURRENCE RELATION FOR INCLINATION FUNCTIONS.

Descriptive Note:

Technical rept.,

Corporate Author:

ROYAL AIRCRAFT ESTABLISHMENT FARNBOROUGH (ENGLAND)

Personal Author(s):

• Gooding,R. H.

Report Date:

1970-04-01

Pagination or Media Count:

14.0

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, Asup K sub li, with two parameters. The present paper gives a recurrence relation for a general normalized function, A sup Ksub lmi, with three parameters. Author

Descriptors:

• (*GRAVITY
• FUNCTIONS(MATHEMATICS))
• (*SATELLITES(ARTIFICIAL)
• ORBITS)
• HARMONIC ANALYSIS
• POWER SERIES
• NUMERICAL ANALYSIS
• POTENTIAL ENERGY
• GREAT BRITAIN

Subject Categories:

• Geodesy
• Unmanned Spacecraft

Distribution Statement:

APPROVED FOR PUBLIC RELEASE