The envelope of ballistic trajectories and elliptic orbits | Zendy

Eugene I. Butikov | Zendy

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The envelope of ballistic trajectories and elliptic orbits

Author(s) -

Eugene I. Butikov

Publication year - 2015

Publication title -

american journal of physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.541

H-Index - 99

eISSN - 1943-2909

pISSN - 0002-9505

DOI - 10.1119/1.4928176

Subject(s) - physics , envelope (radar) , projectile , classical mechanics , celestial mechanics , gravitational field , kepler , gravitation , kepler problem , domain (mathematical analysis) , field (mathematics) , motion (physics) , elliptic orbit , boundary (topology) , simple (philosophy) , theoretical physics , aerospace engineering , mathematical analysis , stars , quantum mechanics , astronomy , radar , philosophy , mathematics , epistemology , pure mathematics , engineering

Simple geometric derivations are given for the shape of the “safety domain” boundary for the family of Keplerian orbits of equal energy in a central gravitational field and for projectile trajectories in a uniform field. Examples of practical uses of the envelope of the family of orbits are discussed and illustrated by computer simulations. This material is appropriate for physics teachers and undergraduate students studying classical mechanics and orbital motions.

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