25 citations · 56 across the 11 of their papers we have counts for
11 papers
Polaris: The Mathematics of Navigation and the Shape of the Earth
John P. Boyd
For millenia, sailors have used the empirical rule that the elevation angle of Polaris, the North Star, as measured by sextant, quadrant or astrolabe, is approximately equal to lat…
The heterogeneous helicoseir
Paolo Amore, John P. Boyd, Abigail Márquez
We study the rotations of a heavy string (helicoseir) about a vertical axis with one free endpoint and with arbitrary density, under the action of the gravitational force. We show…
Airplane Orbits and Satellite Orbits and Orbitfall: Physics Hidden in Plain Sight
John P. Boyd
An airplane flying at constant speed and altitude is an example of physics invisible to the pilots and passengers, but visible to remote observers and manifest in the mathematics.…
Asymptotic Coefficients and Errors for Chebyshev Polynomial Approximations with Weak Endpoint Singularities: Effects of Different Bases
Xiaolong Zhang, John P. Boyd
When solving differential equations by a spectral method, it is often convenient to shift from Chebyshev polynomials with coefficients to modified basis function…
A Long-lived Sharp Disruption on the Lower Clouds of Venus
J. Peralta, T. Navarro, C. W. Vun +19
Planetary-scale waves are thought to play a role in powering the yet-unexplained atmospheric superrotation of Venus. Puzzlingly, while Kelvin, Rossby and stationary waves manifest…
Meteorology and Oceanography on a Flat Earth
John P. Boyd
To build insight into the atmosphere and ocean, it is useful to apply qualitative reasoning to predict the geophysical fluid dynamicss of worlds radically different from our own su…