What is the gravitational force on the moon?

The gravitational force on the moon is considerably less compared to that on Earth. This is attributed to the fact that the moon does not have an atmosphere like the planet it orbits. Due to its extremely weak gravity, it is unable to retain gases in its vicinity. The existence of a gravitational field on Earth’s satellite is confirmed by a documented experiment. In this experiment, an astronaut dropped a pen and a hammer, and they both fell to the surface simultaneously.

Gravity on the Moon

Here’s an interesting fact about the gravitational force on the Moon compared to that on Earth. Credit: ic.pics.livejournal.com

The Attraction between the Moon and the Earth

The impact of Earth’s gravity on the lunar landscape is evident in the presence of lunar seas. These seas are much more abundant on the side of the Moon facing the Earth, accounting for more than 30% of the hemisphere’s area. In comparison, the other hemisphere has lunar seas occupying only 2.5% of its surface area.

The attraction of Earth's waters to the Moon

The attraction of Earth's waters to the Moon

The lunar seas are areas on the surface of the moon that are relatively flat and covered with solidified lava and dust. Scientists believe that these seas accumulate on the side of the moon facing the Earth due to the gravitational force of our planet. Without the Earth’s tidal forces, the lava would be evenly distributed across the moon’s surface.

The gravitational forces of the moon also have an impact on Earth, particularly on bodies of water. It is widely accepted in the scientific community that tides are a result of this lunar influence. Here are some key points about tides:

  1. Tides are observed on the hemisphere of Earth that is facing the moon at a given time.
  2. The ebb and flow of the tide occurs because as celestial bodies shift, the gravitational pull of the moon diminishes.

The scientific community is not perplexed by certain paradoxes. One such paradox is that the Sun’s gravitational effect on the Earth’s surface is much stronger than that of the moon. However, it is the moon that is considered to be the cause of the rise and fall of sea levels, not the Sun.

Imbalanced Moon

The topography of the Moon’s visible hemisphere, which is observed from the Earth’s surface, differs greatly from the hemisphere that faces away.

The lunar seas on the visible side of the celestial body cover more than a third of the surface, while on the opposite side they only occupy about 2.5% of the area.

Due to their darker coloring, these regions of the Moon’s surface reflect significantly less solar energy. As a result, the side of the Moon that is visible from the Earth reflects much less solar energy. This phenomenon serves as an example of the unequal distribution of solar energy between the two hemispheres of a celestial body.

Anomalous gravity

The examination of the gravitational field of the celestial body was conducted by recording its impact on the orbits of man-made satellites of the Moon. The information gathered by the Luna-10 and Lunar Orbiter spacecraft not only aided in addressing the query of whether there exists gravity on the Moon, but also brought to light its distinct characteristics.

Investigations of the Earth’s satellite have demonstrated that the gravitational field of the Moon is non-uniform. Scientists attribute this attribute to the concentration of dense structures within the depths of the lunar seas. Experts have chosen to employ the term “mascons” to denote such highly dense fragments. The high density of these geological formations enables them to generate a significant disruption in the gravitational field of the Earth’s satellite. Their influence on spacecraft in lunar orbit has the potential to impact the trajectory of space objects.

During the exploration of space, it has been uncovered that areas containing impact craters exhibit mascons and the gravitational anomalies they generate.

The scientific community links the formation of mascons to the accumulation and compression of material from the space object within the crater, which becomes embedded in the celestial body’s mantle. Additionally, rocks from the slopes of the impact crater slide into this area, further contributing to the compression.

One hypothesis explaining the formation of gravitational anomalies on the moon suggests that an additional gravitational force is generated in the regions of lunar seas. This phenomenon is attributed to the accumulation of greater solar energy in these specific areas. Due to their flat, dark-colored surface, they absorb sunlight more rapidly and intensely, resulting in a slower cooling process compared to the surrounding lunar soil.

Furthermore, it is suggested that certain gravitational anomalies may be related to meteorites that have impacted and penetrated the lunar crust, composed of high-density material.

Does the Moon have gravity: explanation and characterization

The Moon, Earth’s only natural satellite, has captivated human interest since ancient times, and scientists continue to explore its mysteries.

The collection “The Glow of Space” showcases the stunning beauty and enigma of this celestial body. The minimalist-style “Moon” t-shirt, shopper, and sweatshirt with a reflective film print add a finishing touch to any outfit, while the “Moon” badge serves as a stylish everyday accessory.

Now, let’s delve into the topic of lunar gravity.

Gravity is the force of attraction between objects with mass. While the Moon is extensively researched, many people wonder if gravity exists on it. Does lunar gravity even exist?

Indeed, there is gravity on the Moon, but it is significantly weaker compared to Earth – approximately six times weaker. As a result, our natural satellite lacks a substantial atmosphere and has minimal influence.

If your weight is 78 kg, on the lunar surface, due to the minimal gravitational force, your weight will be approximately 13 kg. In simple terms, the Moon’s gravitational force will enable you to exert less energy when walking or jumping. In order to mentally simulate the experience of being an astronaut walking on the Moon and feeling its gravity, our team has created the “In the Moon Mountains” sweatshirt from the “Real Future” collection.

Gravity on the Moon compared to Earth

Despite its relatively weak gravitational field, the Moon has the ability to generate a tidal effect on Earth, resulting in the rise and fall of water levels in the Earth’s oceans. How does this phenomenon occur?

1) The side of the Earth’s surface that faces the Moon at any given point experiences a strong gravitational pull. As a result, the water level on that side rises, creating a high tide.

2) On the opposite side of the Earth, the Moon’s gravity has a minimal impact, causing the water level to decrease and forming a low tide.

In addition to creating tides, this phenomenon also has the potential to slow down the Earth’s rotation on its axis, which explains why we sometimes experience longer daylight hours.

In this chapter, we will explore the impact of the Moon’s gravitational field on the Earth, including its physical structure and orbital movement. We will discuss how this influence affects different spheres of the Earth, such as the lithosphere, hydrosphere, core, atmosphere, magnetosphere, and biosphere in subsequent chapters.

NOTES.
To visualize the gravitational interaction between the Moon and the Earth, refer to the LUNAR FACTOR service, which provides graphs and data.

3.1. Lunar Gravity Parameters.

Calculated relations and constants

To determine the gravitational impact of the Moon, we can utilize the formula of classical physics that defines the force F of mutual attraction between two bodies with masses M1 and M2, whose centers of masses are located at a distance R from each other:

where G = 6.67384 x 10 -11 is the gravitational constant.

This formula provides the value of the gravitational force in SI units – newtons (n). However, for the purposes of our study, it is more convenient to work with kilograms of force (kgf), which can be obtained by dividing F by the coefficient 9.81, as follows:

(2) F (kgf) = (G x M1 x M2) / (9.81 x R 2 )

For further calculations, we require the following constants:

  1. Moon mass – 7.35 x 10 22 kg;
  2. The average distance from the Earth to the Moon is 384,400 kilometers;
  3. The average radius of the Earth is 6,371 kilometers;
  4. The mass of the Sun is 1.99 x 10^30 kilograms;
  5. The average distance from the Earth to the Sun is 149.6 million kilometers;

Lunar gravity on Earth

According to formula (2), the Moon’s gravitational force on a body of mass 1 kilogram located at the center of the Earth, with the distance between the Moon and the Earth equal to its mean value, is:

(3) F = (6.67 x 10^-11 x 7.35 x 10^22 x 1) / (9.81 x 384,400,000^2) = 0.000003382 kgf

That is a total of 3.382 micrograms. For comparison, let’s calculate the force of attraction of the same body by the Sun (also for the average distance):

(4) F = (6.67 x 10^-11 x 1.99 x 10^30 x 1) / (9.81 x 149,600,000,000,000^2) = 0.000604570 kgf,

The weight of a body on the Moon is approximately 604,570 micrograms, which is nearly 200 times greater than the gravitational force of the Moon.

Furthermore, the weight of an object on Earth can vary significantly due to factors such as the Earth’s shape, relief and density variations, and the influence of centrifugal forces. For instance, a 1 kg object weighs about 5.3 grams more at the poles compared to the equator. This difference is attributed to the Earth’s flattening at the poles and the centrifugal force at the equator opposing gravity.

It is evident that the direct gravitational impact of the Moon on a specific object situated on the Earth is extremely small, making it much less significant compared to the gravitational influence of the Sun and geophysical anomalies.

Lunar gravitational force gradient

Lunar and solar gravity

Fig.3.1 Lunar and solar gravity

Despite the significantly smaller mass of the Moon compared to the Sun, the average gradient of its gravitational force in the Earth’s orbit is more than twice as large as the gradient of the Sun’s gravitational force.

3.2. IMPACT ON THE EARTH’S PHYSICAL STRUCTURE

To demonstrate the influence of the Moon’s gravitational field on the Earth’s physical structure, let’s turn to Fig. 3.2.

Influence of the Moon's gravitational field on the Earth's body

Influence of the Moon's gravitational field on the Earth's body

Figure 3.2 illustrates the impact of the Moon’s gravitational field on the Earth’s body.

This diagram provides a simplified representation of how the Earth’s shape changes in response to the gravitational pull of the Moon. It showcases the interaction between tidal forces along the Earth-Moon axis and the counteracting forces of the Earth’s elasticity. Tidal forces occur because the parts of the Earth that are closer to the Moon experience a stronger gravitational attraction compared to those farther away. In essence, the deformation of the Earth’s body is a result of the gradient of the Moon’s gravitational force and the counteracting forces from the Earth’s elasticity. As a result of these forces, the Earth’s size increases in the direction of the tidal forces and decreases in the perpendicular direction, leading to the formation of a tidal wave on the surface. This wave has two peaks, positioned along the Earth-Moon axis, and moves in the opposite direction of the Earth’s rotation. The amplitude of the wave depends on the latitude and the current parameters of the Moon’s orbit, and can reach several tens of centimeters. It reaches its maximum value at the equator when the Moon is at its perigee.

Joint influence of the gravitational fields of the Moon and the Sun on the Earth's body in the "conjunction" (at the new moon).

Fig.3.3 The combined effect of the Moon’s and the Sun’s gravitational fields on the Earth’s mass
during the “conjunction” period (at the new moon).

Joint influence of the gravitational fields of the Moon and the Sun on the Earth's body in "opposition" (at full moon).

The combined effect of the Moon and Sun's gravitational fields on the Earth's body during a full moon.

Figure 3.4 illustrates the combined effect of the Moon and Sun’s gravitational fields on the Earth’s body during a full moon.

As the Moon and the Sun move away from the line of sisygia, the tidal forces they create and, consequently, the tidal waves begin to take on an independent nature. Their combined effect decreases, while their opposition to each other increases. The maximum counteraction occurs when the angle between the directions to the Moon and the Sun from the center of the Earth is 90°, meaning that these celestial bodies are in a “square” configuration and the Moon is in the quarter phase (either first or last). In this arrangement, the tidal forces of the Moon and the Sun act on the shape of the Earth’s body in opposite directions, resulting in maximally separated tidal waves on the surface and minimal amplitude. This can be seen in Figure 3.5.

Joint influence of the gravitational fields of the Moon and the Sun on the Earth's body in "square" (the first and last quarter of the Moon)

The combined effect of the Moon and the Sun's gravitational fields on the Earth's body during the first and last quarter of the Moon

Figure 3.5 illustrates the combined effect of the Moon and the Sun’s gravitational fields on the Earth’s body during a “square” arrangement.

Please note that the terms “conjunction,” “opposition,” and “square” (or “quadrature”) are used in astronomy and astrology to describe the geometric relationship between two celestial bodies or points in relation to the Earth. More information can be found in the book Lunar Aspects.

3.3. IMPACT ON THE EARTH’S ORBIT

As mentioned in paragraph 1.1.1 of Chapter 1, the Moon possesses an unusually large mass for a natural satellite of a planet. This suggests that it is more accurate to view the Earth and the Moon as a double planetary system, both rotating around a common center of mass. This center of mass is located approximately 4670 km away from the center of the Earth. Consequently, as the Earth rotates on its central axis, it also revolves around this center of mass with a period equivalent to the synodic lunar month, which is approximately 29.530588 solar days. This results in a variable “modulating” component being added to the Earth’s elliptical orbit, with a corresponding amplitude and period (refer to Fig.3.6).

Modulation of the Earth's orbit by lunar gravity.

Figure 3.6: Modulation of the Earth’s orbit caused by the gravitational pull of the moon.

This element alters the distance between the Earth and the Sun, resulting in variations in solar gravity of approximately ± 450 µgs, with negligible impact on its gradient. Additionally, it generates certain inertial forces, contributing to the changes in gravity depending on the location of the object on the Earth’s surface. It also has a slight effect on the amount of solar energy that reaches the Earth (compare here).

3.4. BRIEF SUMMARY

There are two primary outcomes of the influence of lunar gravity on our planet:

  1. Lunar tides on Earth’s surface – regular fluctuations in the Earth’s surface level, which align with the Earth’s daily rotation and the Moon’s orbital motion.
  2. The addition of a variable element to Earth’s orbit, which is synchronized with the rotation of the Earth-Moon system around a shared center of mass.

These phenomena play a crucial role in the Moon’s impact on various aspects of Earth, such as the lithosphere, hydrosphere, Earth’s core, atmosphere, magnetosphere, and others. Further details can be found in the following chapter.

When we gaze at the night sky, we can’t help but feel a sense of wonder as the Moon shines brightly overhead. People often question why the Moon doesn’t come crashing down to Earth. In this piece, we will explore the enigma of this occurrence and delve into the significance of gravity and inertia in maintaining the Moon’s celestial path.

Gravity: The force that brings the Moon and Earth together

The key element that ensures the stability of the Moon’s orbit is gravity. Gravity is a force field generated by the Earth, which pulls all objects with mass towards the center of the Earth. The Moon is also affected by this force, but why doesn’t it crash into the Earth?

The force of attraction between the Moon and the Earth is directly proportional to the masses of these celestial bodies and inversely proportional to the square of the distance between them. With the Earth having a much larger mass than the Moon, it exerts a significant gravitational force on the Moon. This gravitational force acts as the centripetal force, constantly drawing the Moon towards the Earth.

However, the force of gravity alone does not sufficiently explain why the Moon does not succumb to the pull of Earth. There exists another crucial element known as inertia. Inertia is the inherent property of an object to maintain its current state of motion or rest. The Moon continues on its trajectory at a specific velocity and direction due to the presence of inertia.

Now, the question arises: how does inertia counteract the gravitational force exerted by the Earth? The key lies in the Moon’s velocity and direction. It moves at a speed and in a trajectory that allows inertia to balance out the gravitational pull from the Earth. This delicate equilibrium between gravity and inertia is what enables the Moon to remain in its orbit.

The Dance of Gravity and Inertia: A Beautiful Partnership

Envision the intricate dance between gravity and inertia as a captivating performance that enables the Moon to gracefully follow its celestial path around the Earth. The relentless pull of gravity exerts a downward force on the Moon, while the powerful inertia propels it forward. Together, these two forces harmoniously maintain the Moon at a consistent distance from our planet, ensuring its steady orbit.

Thus, the enigma of why the Moon does not descend to Earth is unraveled through the captivating interplay of gravity and inertia. The Earth’s gravitational force firmly holds the Moon in its orbit, while the Moon’s unwavering inertia enables it to sustain its movement and defy the pull of gravity.

The celestial dance of the Moon around the Earth is a breathtaking sight that showcases the beauty of our universe. It is an elegant demonstration of the physical laws that govern the motion of celestial bodies, providing us with a fundamental understanding of the cosmos. Gravity, with its immense power, holds the Moon in its orbit, perpetuating this serene dance that captivates our senses. The complexity of these physical laws reminds us of the vastness and intricacy of our universe.

If you’re feeling like you’ve put on a few extra pounds and are carrying around some extra weight, it may be time to consider a trip to the Moon. The Moon’s gravity is significantly weaker than that of Earth, meaning you’ll experience a much lower gravitational pull on your body. Remember, weight is determined by the mass of an object multiplied by the force of gravity, and on the Moon, that force is only 17% of what it is on Earth. In other words, the gravitational force on the Moon is six times weaker than on our home planet. This concept may seem unbelievable and difficult to comprehend, so let’s break it down with a concrete example.

our galaxy

Imagine a scenario where there is an object weighing 100 kilograms on Earth. However, if you were to place this same object on the Moon’s surface, the scale would only register it as 17 kilograms. This stark difference in weight is due to the Moon’s lower gravity, which allows for high bouncing, similar to that of a ball.

Let’s consider a specific example for better understanding. If, on Earth, you are able to jump 30 centimeters from the ground, with the same effort in lunar gravity conditions, you would be able to jump a staggering 2 meters. Additionally, landing on the Moon is much gentler and more pleasant compared to Earth. You won’t feel the impact, but rather, you’ll have a sensation of floating through the air.

photo of the moon

How do astronauts navigate?

When the first individuals arrived on the desolate moon, they were unaware of the exact force of gravity on this celestial body. Consequently, upon reaching the moon’s surface, the astronauts were compelled to traverse by way of leaping. If they had opted to walk in their customary manner, they would have toppled over. Nevertheless, due to the moon’s diminished gravitational pull, each astronaut is afforded the opportunity to momentarily experience the sensation of flight akin to that of a bird. Undoubtedly, this is an extraordinary and unparalleled sensation that anyone would yearn to encounter.

astronaut in space

Thus, we have determined whether gravity exists on the Moon, and now we confidently move forward to another, equally fascinating subject – commonly held misconceptions about this intriguing phenomenon.

Myth 1. There is no gravity in outer space

Observing astronauts, one might assume that they experience complete weightlessness on the International Space Station. While this is partially true, it is important to remember that they are still influenced by Earth’s gravitational force, which keeps artificial and natural satellites in orbit. Yes, Earth’s gravitational force is so strong that even in outer space, it pulls objects towards it.

The difference between an individual astronaut and a satellite lies solely in their mass. The force of gravity is directly proportional to this value, which means that astronauts do not fall to the Earth’s surface and are unaffected by its gravity.

Myth 2: The Parade of Planets and Earth’s Gravity

The parade of planets refers to a cosmic phenomenon where all the planets in the solar system align in a straight line, leading to their gravitational forces combining. Even if we disregard the fact that such a scenario is impossible and goes against the laws of physics, let’s focus on the celestial bodies that can impact Earth’s gravity. These planets are Venus and Jupiter. Venus, due to its close proximity, although it has a small mass and volume.

Debunking Myth 3: Black holes do not rip objects apart

While black holes remain a puzzling phenomenon, scientists have uncovered certain truths about them. Consequently, we can confidently assert that black holes do not possess the ability to tear nearby objects as long as their mass is not significantly small compared to cosmic standards. It is crucial to recognize that the power of black holes is directly linked to their size and the size of neighboring celestial bodies. If, for instance, a star with a mass equivalent to 10 times that of our Sun is in close proximity to a black hole, it may indeed be ripped apart. However, if the star’s mass approaches 1000 times that of our Sun, the black hole can only engulf it entirely.

black hole