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MARIA MAGDALENA - SANTO GRIAL: VIKING PROYECT TEST GENERAL RELATIVITY, NOVEMBER 25 1976 MARS MARY MAGDALENE
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De: BARILOCHENSE6999  (Mensaje original) Enviado: 23/12/2024 16:07

Viking Project tests general relativity, November 25, 1976

 

The Viking spacecraft arrived at Mars in the summer of 1976 and passed through superior conjunction on November 25, as Mars passed directly behind the Sun as seen from Earth. This provided researchers the opportunity to use the spacecraft in an experiment to test general relativity.


This image shows the surface of Mars looking across the Viking 2 Lander. (Source: NASA)

After completing the primary missions, the Viking continuation mission objectives included a radio science solar conjunction relativity experiment. Scientists began an experiment that used the landers and orbiters as transponders, sending radio signals to the lander on Mars and instructing the lander to the return signals. The round-trip travel times of the radio signals going from Earth to the Viking landers and orbiters were measured.

 

Using dual-band, one-way ranging allowed estimation of the contribution of the solar-corona plasma to the echo delays obtained from ranging to the spacecraft.

 

The data confirmed the Shapiro time delay effect, which states that radar signals passing near a massive object take slightly longer to travel to a target and longer to return than they would if the mass of the object were not present.

Cassini general relativity testA report, “Viking relativity experiment: verification of signal retardation by solar gravity” published in 1979 by researchers at MIT and the Jet Propulsion Laboratory, analyzed 14 months of data obtained from radio ranging to Viking to verify the prediction of the general theory of relativity.

Published by Albert Einstein in 1916, the general theory of relativity predicted that the round-trip or echo delays of light signals traveling between the Earth and Mars would be increased by the direct effect of solar gravity. The theory included gravitational time dilation, where time passes differently in regions of different gravitational potential.

NASA has continued to test general relativity, most recently with the Cassini space probe (see a NASA artist rending of its testing at right) and Gravity Probe B, which also confirmed the theory.

Related articles:


For more moments in tech history, see this blog. EDN strives to be historically accurate with these postings. Should you see an error, please notify us.

Editor’s note: This article was originally posted on November 25, 2013 and edited on November 25, 2019.

https://www.edn.com/viking-project-tests-general-relativity-november-25-1976/


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2.1. Einstein

Einstein, see Fig. 1, had a very important role in a number of areas in physics but the pinnacle is without a doubt the creation of general relativity. After great persistence from a work that started with the idea of the principle of equivalence in 1907 [12] and continued through the collaboration with Grossmann in the entwurf theory of gravitation [3 5], Einstein presented to the Prussian Academy of Sciences, in November 18 and 25, 1915 [67], see also [8], a totally new theory, namely, a covariant, tensorial, and relativistic theory, that he immediately called the general theory of relativity, or simply, general relativity. Einstein equation that governs general relativity is

(1)
���=8���4���,

where ��� is a quantity that represents the geometry of spacetime called the Einstein tensor, ��� is a quantity that represents the matter content of the spacetime called the energy-momentum tensor, G is the constant of gravitation, and c is the speed of light, see [9] for the genesis of this equation. In a stroke, the theory confirms the Minkowskian spacetime notion, states that gravitation is geometry, spacetime is curved, and particles follow geodesics. For accounts of this period in Einstein's life see [10 12].

In its more than one hundred years, general relativity has passed through very rigorous tests, it is accepted as the standard theory of gravitation, and is considered one of the great feats in history. Notwithstanding all these achievements, gravitation is the most intriguing of all the known interactions.

The tests and implications of general relativity are many and profound. Weak field classical tests within the solar system are the perihelion precession of Mercury, the light deflection in the gravitational field of the Sun, the gravitational redshift Doppler effect, and the Shapiro gravitational time delay in the radar echo. Technological applications of general relativity, are now current, as the global position system, or GPS, would not work at all without the general relativistic corrections related to the gravitational redshift Doppler effect, necessary to synchronize clocks in the satellites with clocks on the Earth's surface. Gravitational lensing is an abundant special case of light deflection and of great importance to understand the gravitational mass and gravitational structure of the Universe. Cosmology, the dynamical and physical study of the Universe, was started by Einstein in 1917 with a static finite universe, continued with the proposal by Friedmann, Lemaitre, and Hubble for an expanding universe, along with the establishment of the big bang scenario through the discovery of the cosmic microwave background radiation, up to the establishment of the acceleration of the Universe, and to the most recent astonishing developments, that converged in the awarding of the shared 2019 Nobel Prize in Physics to Peebles of Princeton University, one of the exponents in the field throughout the last six decades. Fundamental theories, theories that make the unification of gravitation and electromagnetism, were initiated by Weyl in 1918, and continued by Eddington and Einstein. Now they are called theories of everything and try to unify the four fundamental fields in a unique quantum scheme. Black holes, the geometric object par excellence in general relativity, were found by Oppenheimer and Snyder in 1939 as the endpoint of gravitational collapse and thus occurring necessarily in nature. Millions of solar mass black holes float through our galaxy, and all, or almost all, galaxies contain a central supermassive black hole in its center. Gravitational waves, spacetime waves predicted by Einstein in 1916, were detected indirectly in the binary pulsar discovered by Hulse and Taylor in 1976, which gave the Nobel prize in 1993, and detected directly in 2015 by the LIGO antennas, from the collision of two black holes, which in turn gave the Nobel prize in 2017. General relativity has left an immense and amazing legacy and we are still in the middle of many of its developments.

https://www.scielo.br/j/rbef/a/tsCDFzLWszcgV8XzMN9KvQH/?lang=en

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SciELO Brasil - Shadow of the Moon and general relativity: Einstein, Dyson,  Eddington and the 1919 light deflection Shadow of the Moon and general  relativity: Einstein, Dyson, Eddington and the 1919 light deflection

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Energía Cinética - Concepto, tipos y ejemplos

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Gravity On Mars: Help Or Hindrance In Colonization?

23rd Nov 2023
Gravity on Mars: help or hindrance in colonization?

Gravity is a fundamental characteristic of planets and other celestial bodies that has a significant impact on life and physical phenomena. In the next decade, humanity is going to colonize the Moon, and after that, the Red Planet. In this article, we will explore gravity on Mars and its impact on humans. But first, let’s define the concept itself.

What Is Gravity?

Gravity (from the Latin gravis, “heavy”) is the universal fundamental interaction between material bodies with mass. In other words, any matter has a gravitational attraction that is proportional to its mass and distance to it. The greater the mass of an object and the closer it is, the greater its gravitational force.

Since the Earth is the most massive object near us (1.317e+25 pounds), all bodies and objects are attracted to it. For example, apples fall to the ground instead of getting attracted to a person’s head. The apple that fell on Newton’s head still fell to the ground later. The gravitational force with which the Earth attracts other bodies to itself is called gravity. The force of gravity is measured by the formula: F = m ⋅ g, where ‘m’ is the mass of the body, and ‘g’ is the gravitational acceleration — a uniformly accelerated motion that all bodies acquire in a vacuum under the influence of gravity near the surface, regardless of their mass.

Free fall acceleration on the Earth’s surface is a constant value that equals 9.8 m/s². This means that when a body is in a free fall, its speed changes by 9.8 m/s in one second. If a body moves vertically upward, its speed decreases by 9.8 m/s in 1 second. If the body moves vertically downward, then the speed increases by 9.8 m/s in 1 second. The gravitational acceleration experienced on the surface of an astronomical or other object is also called surface gravity. So, let’s learn what the surface gravity of Mars is.

How Does Gravity On Mars Compare To Earth, Moon And Venus?

calculating weight on Mars and other planets How to calculate your weight on other planets.

If we take on Earth as 100%, then on Venus, the surface gravity will be 91%, on the Moon — 16.6%, and on Mars — 38%. That is, if you weigh, say, 200 pounds on Earth, then on Venus you would weigh 182 pounds, on Mars — 76 pounds, and on the Moon only — 38! Remember how easily the Apollo astronauts jumped on the Moon even though their spacesuits weighed 130 pounds!

Why Is Mars’ Gravity So Low?

Gravity on different planets and moons depends on their mass and radius square. The greater the mass of the planet and the closer you are to its centre, the stronger the gravity and vice versa. Astronomical objects have different masses and radii, so their g value is also different.

The mass of Mars is approximately 0.107 that of Earth, or approximately 1.523 x 10^23 pounds. The radius of Mars is 2,106 miles, which is almost half that of Earth (3,959 miles). That’s why Mars’s surface gravity is so low.

Would You Fall Faster On Mars?

Since the acceleration of gravity on Mars is almost three times less than on Earth, you might think that you will fall to the Red Planet much more slowly because the gravity of Mars will not pull you as strongly as the Earth’s gravity. But let’s recall that the acceleration of gravity is calculated for bodies in a vacuum and does not take into account the height of the fall and… air resistance. The density of the Martian atmosphere is only 20 grams per cubic meter, which is 61 times less than the density of the Earth’s atmosphere (1.225 kilograms per cubic meter). In other words, the atmospheric resistance on Mars is so low that your final fall speed will be over five times higher than on Earth. Future colonists will need to carefully consider the design of the ship so that it does not crash on the surface at landing.

Is There Enough Gravity On Mars To Walk?

Yes. Even though on Mars, you will weigh almost three times less than on Earth, this disadvantage will be compensated by the spacesuit weight. Neil Armstrong and Buzz Aldrin walked on the Moon with ease, even though there was even less gravity there. In general, you don’t need to be afraid. You’ll have your feet firmly planted on the Red Planet’s surface, and the only thing you’ll need to watch out for is where you step.

Could I Run Faster On Mars?

Running on MarsRunning on Mars. Credit: adme.media

In theory — yes, but there are some other factors to consider. On Earth, marathon speed is 6 miles, and the maximum speed that professional runners can achieve is 27 miles! If we compare gravity on Mars and Earth, then these indicators can be multiplied by 2.7 times. However, on Mars, you won’t be able to run in shorts, a T-shirt, and Nike Air Jordans! There, you will have a heavy spacesuit and boots, protecting you from the harsh conditions of the Martian atmosphere and landscape.

As soon as you step on the surface of the Red Planet, you will see it for yourself! The surface is covered with rust-coloured dust. The dust layer thickness may vary in different places, but on average, it is about two metres! The same fine dust flies in the air, occasionally creating dust storms, the most powerful of which can even be seen from Earth. Let’s agree, this can make running so much more difficult.

Is Mars Gravity Survivable?

Mars colonyMars colony, concept Credit: Getty Images/e71lena

Let’s imagine that we landed safely and even managed to walk on the surface of the Red Planet. Can you survive on Mars in low gravity? Of course, it won’t kill you instantly, but it can have long-term health effects such as bone loss, muscle atrophy, cardiovascular problems, vision problems, and swelling. Astronauts face most of these problems after a long stay on the ISS, and yet, the gravity there is only 12% lower than Earth’s. By the way, read how space medicine fights low-gravity disease.

All in all, to survive on Mars, you will have to try very hard. Astronauts going to Mars will have to exercise regularly and take extra measures to maintain their physical health; technicians and engineers will have to develop special spacesuits that minimize the effect Mars gravity has on humans, as well as create residential complexes with life support systems that replicate terrestrial living conditions to a maximum.

Conclusion

So, we found out that Mars’s gravity is lower than Earth’s, but it allows people to survive and carry out basic vital activities. But there are a couple of nuances. Studying the effects of low gravity on human health and capabilities is an important goal for future missions to Mars and long-term housing on this planet.

Sources:

  • Kenneth L. Nordtvedt, Alan H. Cook, James E. Faller. “Gravity | Definition, Physics, & Facts” https://www.britannica.com/science/gravity-physics
  • NASA science. Mars facts. https://mars.nasa.gov/all-about-mars/facts
  • Here’s How Fast You Could Run on Other Planets https://brightside.me/articles/heres-how-fast-you-could-run-on-other-planets-813714/
  • Chris Denzel. “Gravitational Factors of Our Eight Planets” 2020 https://sciencing.com/gravitational-factors-eight-planets-8439815.html
https://orbitaltoday.com/2023/11/23/gravity-on-mars-help-or-hindrance-in-colonization/

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Abstract

Analysis of 14 months of data obtained from radio ranging to the Viking spacecraft verified, to an estimated accuracy of 0.1%, the prediction of the general theory of relativity that the round-trip times of light signals traveling between the earth and Mars are increased by the direct effect of solar gravity. The corresponding value for the metric parameter gamma is 1.000 plus or minus 0.002, where the quoted uncertainty, twice the formal standard deviation, allows for possible systematic errors.

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Astronomy - Ch. 12: Mars (55 of 62) Using Viking 1 to Test the Theory of  General Relativity


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