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An analytic study on bounds for the associated legendre functions. [for truncation of geopotential series in spherical harmonics in orbital analyses
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Payne, M. H. |
| Copyright Year | 1973 |
| Description | The bounds for the normalized associated Legendre functions P sub nm were studied to provide a rational basis for the truncation of the geopotential series in spherical harmonics in various orbital analyses. The conjecture is made that the largest maximum of the normalized associated Legendre function lies in the interval which indicates the greatest integer function. A procedure is developed for verifying this conjecture. An on-line algebraic manipulator, IAM, is used to implement the procedure and the verification is carried out for all n equal to or less than 2m, for m = 1 through 6. A rigorous proof of the conjecture is not available. |
| File Size | 1924911 |
| Page Count | 66 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19740002450 |
| Archival Resource Key | ark:/13960/t3227p997 |
| Language | English |
| Publisher Date | 1973-07-01 |
| Access Restriction | Open |
| Subject Keyword | Intervals Approximation Spherical Harmonics Limits Mathematics Geopotential Orbit Calculation Legendre Functions Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
