An equation of motion in the presence of a drag force proportional to the velocity is derived in the framework of alternative relativity. The results allow modeling the trajectory of SN 1993J and its light curve in four different astronomical bands.
References
[1]
Newton, I. (1687) Philosophiae Naturalis Principia Mathematica. Jussu Societatis Regiae ac Typis Josephi Streater. Prostat apud plures bibliopolas. https://doi.org/10.5479/sil.52126.39088015628399
[2]
Einstein, A. (1905) Zur Elektrodynamik bewegter Körper. Annalen der Physik, 322, 891-921. https://doi.org/10.1002/andp.19053221004
[3]
Poincaré, H. (1905) Sur la dynamique de l’électron. Comptes Rendus des sÉances de l’Académie des Sciences, 140, Article 1504.
[4]
Huang, Y. (1991) Relativistic Kinematics I: A Theory of Relativistic Kinematics Based on Physical Reality. PhysicsEssays, 4, 68-75. https://doi.org/10.4006/1.3028888
[5]
Huang, Y. (1991) Relativistic Kinematics II: The Electromagnetic Force Law Relativistically Reexamined. PhysicsEssays, 4, 194-201.
[6]
Huang, Y. (1991) Relativistic Kinematics III: A Relativistic Modification for Newton’s Gravitational Force Law. PhysicsEssays, 4, 532-541. https://doi.org/10.4006/1.3028932
[7]
Huang, Y. (1992) Relativistic Kinematics IV: The Compatibility of the Differential Lorentz Transformation and Heisenberg’s Uncertainty Principle. Physics Essays, 5, 159-163. https://doi.org/10.4006/1.3028964
[8]
Huang, Y.S. (1995) Relativistic Equation of Motion. Annales de la Fondation Louis de Broglie, 20, 409-425.
[9]
Stokes, G.G., et al. (1851) On the Effect of the Internal Friction of Fluids on the Motion of Pendulums. Pitt Press.
[10]
Zaninetti, L. (2021) Relativistic Motion with Viscosity: II Stokes’s Law of Resistance. InternationalJournalofAstronomyandAstrophysics, 11, 481-488. https://doi.org/10.4236/ijaa.2021.114025
[11]
Nagy, A.P., Ordasi, A., Vinkó, J. and Wheeler, J.C. (2014) A Semianalytical Light Curve Model and Its Application to Type IIP Supernovae. Astronomy&Astrophysics, 571, A77. https://doi.org/10.1051/0004-6361/201424237
[12]
Zaninetti, L. (2015) Relativistic Scaling Laws for the Light Curve in Supernovae. Applied Physics Research, 7, 48-59. https://doi.org/10.5539/apr.v7n3p48
[13]
Rybicki, G. and Lightman, A. (1991) Radiative Processes in Astrophysics. Wiley-Interscience.
[14]
Press, W.H., Teukolsky, S.A., Vetterling, W.T. and Flannery, B.P. (1992) Numerical Recipes in Fortran: The Art of Scientific Computing. Cambridge University Press.
[15]
Marcaide, J.M., Martí-Vidal, I., Alberdi, A., Pérez-Torres, M.A., Ros, E., Diamond, P.J., et al. (2009) A Decade of SN 1993J: Discovery of Radio Wavelength Effects in the Expansion Rate. Astronomy & Astrophysics, 505, 927-945. https://doi.org/10.1051/0004-6361/200912133
[16]
Zaninetti, L. (2014) The Physics of the Optical Light Curve in Supernovae. Applied Physics Research, 6, 118-130. https://doi.org/10.5539/apr.v6n2p118
[17]
Zhang, T., Wang, X., Zhou, X., Li, W., Ma, J., Jiang, Z., et al. (2004) Optical Photometry of SN 1993J: 1995 to 2003. The Astronomical Journal, 128, 1857-1867. https://doi.org/10.1086/423699
[18]
Chandra, P., Dwarkadas, V.V., Ray, A., Immler, S. and Pooley, D. (2009) X-Rays from the Explosion Site: 15 Years of Light Curves of SN 1993J. TheAstrophysicalJournal, 699, 388-399. https://doi.org/10.1088/0004-637x/699/1/388
[19]
Szalai, T., Zsíros, S., Jencson, J., Fox, O.D., Shahbandeh, M., Sarangi, A., et al. (2025) JWST/MIRI Detects the Dusty SN1993J about 30 Years after Explosion. Astronomy &Astrophysics, 697, A132. https://doi.org/10.1051/0004-6361/202451470