Analytic Time Derivatives of Instantaneous Impact Point
| Autor: | Jaemyung Ahn, Woong-Rae Roh |
|---|---|
| Rok vydání: | 2014 |
| Předmět: |
Engineering
business.product_category Sounding rocket Series (mathematics) business.industry Applied Mathematics Mathematical analysis Range safety Aerospace Engineering Acceleration Rocket Space and Planetary Science Control and Systems Engineering Position (vector) Physics::Space Physics Point (geometry) Electrical and Electronic Engineering Aerospace engineering business Linear combination |
| Zdroj: | Journal of Guidance, Control, and Dynamics. 37:383-390 |
| ISSN: | 1533-3884 0731-5090 |
| Popis: | This paper presents analytic expressions for the time derivatives of a Keplerian instantaneous impact point of a rocket. The derivatives can be obtained by differentiating the series of equations associated with the Keplerian instantaneous impact point of a rocket and are expressed as linear combinations of disturbing acceleration components whose coefficients are functions of the current position and velocity of the rocket. The formulae introduced in this paper have been carefully verified using different cases. The verification results for the proposed derivatives prove that they successfully represent the motion of the instantaneous impact point under various conditions for the disturbing acceleration. The results of this paper could be applied to problems arising in rockets/launch vehicles operations, such as the steering of a rocket or the augmentation of a range safety system. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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