How will the water surface of this planet looks like ?

In summary: This information is needed for calculating the shape of Rocheworlds and Roche-Klemperer-primary. In summary, the planet made from two half-spheres with different densities will have water collecting up to a surface with the same potential energy per mass level, regardless of whether the planet is spinning along the rocks-iron line or a line perpendicular to it. The class of geometric shape experiencing the same gravitational acceleration magnitude is known as an equipotential surface or line. This information is needed for calculating the shape of Rocheworlds and Roche-Klemperer-primary.
  • #1
rhz_prog
17
0
Lets suppose we have a planet made from two half-sphere with the same radius (R) made from matter with different density.

The left-half-sphere is made from rocks (5gr/cm3) and the right-half-sphere is made from iron (8gr/cm3).

Then we pour water on up to about one-tenth of the sphere volume.

1. Will the water collect up to a surface with the same gravitational acceleration or collect to up to a surface with the same potential energy per mass level ?
a. assuming the planet isn't spinning
b. assuming the planet is spinning along the rocks-iron line
c. assuming the planet is spinning along a line perpendicular to the rocks-iron line

2. What is a class of geometric shape experiencing the same gravitational acceleration magnitude given the position and mass of several source of gravity (lets assume it is point-mass for simplicity)? ( Yes, I know the shape would vary a lot depending on the system. I want to know whether there is any standard name for these class of geometry. )


I need these information in order to calculate the shape of Rocheworlds and Roche-Klemperer-primary.

Thanks for your help,


Fendy
 
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  • #2
1. a. The water will collect up to a surface with the same gravitational acceleration. b. The water will collect up to a surface with the same potential energy per mass level. c. The water will collect up to a surface with the same potential energy per mass level. 2. The class of geometric shape experiencing the same gravitational acceleration magnitude given the position and mass of several source of gravity is known as an equipotential surface or equipotential line.
 

Related to How will the water surface of this planet looks like ?

1. How does the water surface of a planet form?

The water surface of a planet is formed through a process known as hydrological cycle. This involves the evaporation of water from the surface, condensation into clouds, and precipitation back onto the surface.

2. What factors determine the appearance of a planet's water surface?

The appearance of a planet's water surface is determined by a variety of factors, such as the planet's atmospheric conditions, temperature, and presence of landmasses. These factors affect the amount of water vapor in the atmosphere and the type of precipitation that falls onto the surface.

3. Can the water surface of a planet change over time?

Yes, the water surface of a planet can change over time due to various natural processes such as erosion and weathering, as well as human activities such as pollution and climate change. These changes can alter the appearance and composition of the water surface.

4. Are there different types of water bodies on a planet?

Yes, there are different types of water bodies on a planet, such as oceans, lakes, rivers, and glaciers. Each type of water body has unique characteristics and plays a different role in the planet's ecosystem.

5. How do scientists study the water surface of a planet?

Scientists study the water surface of a planet using various techniques, such as satellite imagery, remote sensing, and field observations. These methods allow them to gather data on the physical and chemical properties of the water surface, as well as its changes over time.

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