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### Relativity of Wavelength According to the Relative Velocity between the Observer and the Wave Source

#### Abstract

An observer on Earth can observe the path of the Moon and Earth around the Earth and the Sun, respectively. Both are elliptical orbits in which the Earth and the Sun are concentrated, respectively. But how do we accept both paths together, where one cannot imagine the Earth as stationary while the Moon revolves around it in one of them and at the same time the Earth itself is the one that revolves around the Sun in the other path! Two paths of the Moon and the Earth can be visualised together in the same frame, as the Moon revolves around the Earth, which in turn revolves around the Sun. So the Moon also revolves around the Sun in a wave path around the Earth. Accordingly, the path of the Moon that we observe in the form of an ellipse from the Earth is in the form of a wave motion whose axis is the Earth's path around the Sun when observed from the Sun. The two observed paths of the Moon’s movement coincide in their estimated periodic time of 27.3216 days, while differing in wavelengths for each. The speed of the Moon along the elliptical path is 1023 m /s, while in the wavy path is 2.97 x 104 m / s, which is the same as the Earth’s speed around the Sun as both of them revolve together around it. The ratio of their wavelengths has been shown to be equal to [1023/(2.97×104)]. Thus, the wavelength of the detected image is proportional to the relative velocity between the observer and the wave source (the Moon).

#### Keywords

Wave motion; Wavelength; Relative velocity; Periodic time;

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#### References

Stephen HW. “A brief history of time: A reader's companion. New York: Bantam Books; 1992.

Moawad Emad Y. “Theory of the Relative Image”. Journal of Space Exploration. 2017; 6(2):126.

Moawad E. Y. The Mechanism of the Gravitational Force and the Balance of the Universe. International Journal of Physics: Study and Research. 2018; 1(1): 1-5. doi: 10.18689/ijpsr-1000101

David Tong. “General Relativity”. University of Cambridge Part III Mathematical Tripos. http://www.damtp.cam.ac.uk/user/tong/gr/gr.pdf

Joseph Gallant. Doing Physics with Scientific Notebook: A Problem Solving Approach. John Wiley & Sons. 2012; 1st Ed. p.132.

J. L. Coolidge. "The Lengths of Curves". The American Mathematical Monthly. February 1953; 60 (2): 89–93. doi:10.2307/2308256. JSTOR 2308256

W. Huggins. “Further observations on the spectra of some of the stars and nebulae, with an attempt to determine therefrom whether these bodies are moving towards or from the Earth, also observations on the spectra of the Sun and of Comet II”. Philosophical Transactions of the Royal Society of London. 1868; 158:529-64.

D. E. Backman et,al. “IRAS observations of nearby main sequence stars and modeling of excess infrared emission”. Advances in Space Research. 1986; 6(7):43-46.

M. Wieczorek, B. Jolliff, K. Amir, et al. “The constitution and structure of the lunar interior”. Rev Mineral Geoch. 2006; 60(1):221-364.

R. A. Serway, J. W. Jewett. “Physics for Scientists and Engineers”. 7th ed. Tomson-Brooks/Cole, Pacific Grove; 2008.

NASA. (21st December, 2021) “Earth Fact Sheet”. [Online]. Available from: https://nssdc.gsfc.nasa.gov/planetary/factsheet/earthfact.html

Leong S. Period of the Sun's orbit around the Galaxy (cosmic year). The Physics Factbook; 2002

Moawad EY. Parker Solar Probe Offers An additional experimental proof for theory of the relative image, P.4- ISSC 2021. http://www.intersmallsatconference.com/past/2021/P.4%20-%20Moawad/

Moawad EY. Visible light sensitivity due to the shape of the orbit, P.5- ISSC 2021.http://www.intersmallsatconference.com/past/2021/P.5%20-%20Moawad/

Michael Light. Apollo Photography and the Color of the Moon. https://www.hq.nasa.gov/alsj/apollocolor.html

Liebert J, Young PA, Arnett D, et al.The age and progenitor mass of Sirius B.Astrophys J. 2005;630:L69-L70.

Chasing the Moon: Transcript, Part Two". American Experience. PBS. 10 July 2019. Retrieved 24 July 2019.

The New York Times (21 December 2018). "Apollo 8's Earthrise: The Shot Seen Round the World - Half a century ago today, a photograph from the moon helped humans rediscover Earth".[Online]. Available from https://www.nytimes.com/2018/12/21/science/earthrise-moon-apollo-nasa.html. (Retrieved 24 December 2018)

Danny Ross Lunsford and Eric M. Jones. Venus over the Apollo 14 LM. Apollo 14 Lunar surface Journal 17 August 2007. https://www.hq.nasa.gov/alsj/a14/a14Venus.html

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