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A preliminary estimation of the accuracy of the inner planet's co-ordinates

Published online by Cambridge University Press:  14 August 2015

D. K. Kulikov

Abstract

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In the construction of analytical theories of planetary motion, the effect is considered of errors in the adopted values of masses, orbital elements and ephemeris time upon the accuracy of computed co-ordinates of the inner planets in accordance with Newcomb's expansions and constants (with Ross's elements for Mars). These are accurate to five decimal places. The errors in the orbital elements are the principal source of inaccuracy in the positions of the planets. The precision of the ephemerides can be considerably improved by introducing appropriate corrections.

Résumé. — L'auteur étudie successivement les effets d'erreurs dans les développements analytiques des théories des planètes, ou dans les valeurs adoptées pour les masses, pour les éléments et pour le temps des éphémérides, sur la précision des coordonnées des planètes inférieures calculées à partir des développements et des constantes de Newcomb (éléments de Ross pour Mars). La précision est de cinq décimales. La source principale d'erreurs sur les positions des planètes est l'imprécision des éléments. On pourrait améliorer considérablement les éphémérides en introduisant des corrections appropriées.

Zusammenfassung. — Der Einfluss von Fehlern bei der Aufstellung analytischer Theorien der Planetenbewegung und in den angenommenen Werten für die Massen, die Bahnelemente und die Ephemeridenzeit auf die Genauigkeit der berechneten Koordinaten der inneren Planeten nach den Ausdrücken und mit den Konstanten von Newcomb (mit den Marselementen von Ross) wird untersucht. Die Genauigkeit beträgt fünf Dezimalen. Die Fehler in den Bahnelementen sind die hauptsächliche Ursache für die Ungenauigkeit der Planetenörter. Die Genauigkeit der Ephemeriden kann beträchtlich gesteigert werden, wenn man geeignete Korrektionen einführt.

Резюме. — Автор последовательно изучает эффекты погрешностей в аналитических разложениях в теориях планет, или в принятых значениях масс и элементов, или еще в эфемеридном времени, на точность координат внутренних планет, вычисленных пользуясь разложениями и постоянными Ньюкомба (для Марса, элементы Росса). Они точны до пяти десятичных знаков. Погрешности в орбитальных элементах являются главной причиной неточности положений планет. Эфемериды могут быть значительно уточнены, применяя надлежащие поправки.

Type
Research Article
Information
Symposium - International Astronomical Union , Volume 21: The System of Astronomical Constants , 1965 , pp. 139 - 151
Copyright
Copyright © CNRS 1965 

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