5 papers
Improving radial velocity precision with CARMENES-PLUS:An upgrade of the near-infrared spectrograph cooling system
R. Varas, R. Calvo-Ortega, P. J. Amado +25
CARMENES is a dual-channel high-resolution spectrograph at the 3.5 m Calar Alto telescope designed to detect low-mass planets around late-type dwarfs by measuring their radial velo…
Chebyshev Expansion of the Zernike Polynomials
Richard J. Mathar
The even and odd Zernike Polynomials R_n^m(x) can be expanded into sums of even and odd Chebyshev Polynomials T_i(x). This manuscript provides closed forms for the rational expansi…
Simulation of Time-dependent Karhunen-Loeve Phase Screens: an Ergodic Approach
Richard J. Mathar
Time-dependent phase screens in ground-based astronomy are typically simulated in the so-called frozen-screen approximation by establishing a static phase screen on a large pupil a…
Third Order Newton's Method for Zernike Polynomial Zeros
Richard J. Mathar
The Zernike radial polynomials are a system of orthogonal polynomials over the unit interval with weight x. They are used as basis functions in optics to expand fields over the cro…
Improved First Estimates to the Solution of Kepler's Equation
Richard J. Mathar
The manuscripts provides a novel starting guess for the solution of Kepler's equation for unknown eccentric anomaly E given the eccentricity e and mean anomaly M of an elliptical o…