Contribution to the theory of the determination of the orbital elements of solar system bodies: replacing Gauss's ratio of sector to triangle

Title:

Contribution to the theory of the determination of the orbital elements of solar system bodies: replacing Gauss's ratio of sector to triangle

Creator:

Josef Kabeláč

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:0f43e12f-a9de-4c2d-abb9-9ad2b680195f
uuid:0f43e12f-a9de-4c2d-abb9-9ad2b680195f
issn:1214-9705

Subject:

Geologie. Meteorologie. Klimatologie, nebeská mechanika, celestial mechanics, orbital elements, 7, and 551

Type:

article, články, model:article, and TEXT

Format:

print, bez média, and svazek

Description:

The aim of this paper is the determination of six orbital elements if two positions (1 and 2) of a solar system body are known. The task was solved using the ratio of the elliptical sector to the area of the corresponding triangle. This relationship was labelled as η and derived by K. F. Gauss (1809), see sections 1 and 2. This paper presents four easy methods that supply the ratio, see section 3. These methods simplify this task by removing long and very complicated derivations and by clarifying the theory and calculations. The methods are not used in the case of more than two observations., Josef Kabeláč., and Obsahuje bibliografii

Language:

English

Rights:

http://creativecommons.org/licenses/by-nc-sa/4.0/
policy:public

Source:

Acta geodynamica et geomaterialia : | 2006 Volume:3 | Number:3 (143)

Harvested from:

CDK

Metadata only:

false