2 citations · 2 across the 4 of their papers we have counts for
4 papers
Orbit Elements from Kepler Solutions in Projective Coordinates
Joseph T. A. Peterson, Manoranjan Majji, John L. Junkins
Closed-Form Kepler solutions in projective coordinates are used to define a corresponding set of eight orbit elements and obtain their governing equations for arbitrarily-perturbed…
Linear and Regular Kepler-Manev Dynamics via Projective Transformations: A Geometric Perspective
Joseph T. A. Peterson, Manoranjan Majji, John L. Junkins
This work presents a geometric formulation for transforming nonconservative mechanical Hamiltonian systems and introduces a new method for regularizing and linearizing central forc…
Projective Transformations for Regularized Central-Force Dynamics: Hamiltonian Formulation
Joseph T. A. Peterson, Manoranjan Majji, John L. Junkins
This work introduces a Hamiltonian approach to regularization and linearization of central-force particle dynamics through a new canonical extension of the so-called "projective de…
Connecting the Equinoctial Elements and Rodrigues Parameters: A New Set of Elements
Joseph T. A. Peterson, Vishala Arya, John L. Junkins
A geometric interpretation of the equinoctial elements is given with a connection to orthogonal rotations and attitude dynamics in Euclidean 3-space. An identification is made betw…