Purpose

The purpose of the Sagittarius A* Project is two fold:

1. The first purpose of the "Sagittarius A* Project" is to simulate 10 mini BH's around the black hole in the centre of the Sagittarius A* Constellation.
2. Secondly its wants to investigate how stable this configuration is, insofar the different BH's influence each other.

• https://en.wikipedia.org/wiki/Sagittarius_A*
• https://en.wikipedia.org/wiki/S2_(star)
  
• See also: 4.4 Example of type 2 experiment: The Star s2 around the BH Sagittarius A*
  
• https://arxiv.org/pdf/1708.06353.pdf
• https://www.sciencealert.com/a-star-dancing-around-a-supermassive-black-hole-is-another-win-for-relativity
• Astronomy and Astrophysics https://www.aanda.org/articles/aa/abs/2020/04/aa37813-20/aa37813-20.html

Introduction

In the center of the Milky Way, within the Constellation Sagittarius, is a BH: Sagitarrius A*. Around this BH many large stars are orbitting.
For the current situation around the project select this: Carpe Diem and Sagittarius

Project Setup

The project is build around 5 programs:

1. sagitarrius.xls

   Sagitarrius.xls is an Excel program.
   The purpose of the program is to convert the information in the Wikipedia documention about 10 Mini BH's into a 2D Data Base. For more detail select this link: Sagitarrius.xls.program

2. VB Draw sagittarius

   This program supports three drawings.
   1. The purpose of this drawing is to convert the information in the 2D Data Base (output of Sagitarrius.xls) into a 3D Data Base (Input of VB sagitarrius and VB2019.sagittarius)
   2. To test two subroutines which are required to Figure 1.412.1 (Angular orbital elements) from the book "Explanatory Supplement to the Astronomical Almanac"
   3. To draw a 3D picture of our Universe containing BH's in a 3D grid, and discuss philosophical implications.
   To get more information select this link: VB Draw Sagittarius

3. VB sagittarius

   The purpose of this Visual Basic program is to make a simulation of the performance in time of the 10 mini BH's holes using the 3D Data Base (output of VB Draw Sagittarius) as start up information.
   To get more information select this link: VB Sagittarius

4. VB2019 sagittarius

   The purpose of this Visual Studio 2019 program is to make a simulation of the performance in time of the 10 mini BH's holes using the 3D Data Base (output of VB Draw Sagittarius) as start up information.
   To get more information select this link: VB2019 Sagittarius program

id1 a e i (°) omega w (°) Tp (yr) P (yr) Kmag q (AU) v (%c) dv m0 S1 0.5950 0.5560 119.14 342.04 122.30 2001,800 166.0 14.70 2160.7 0.55 0.03 12.40 S2 0.1251 0.8843 133.91 228.07 66.25 2018,379 16.1 13.95 118.4 2.56 0.00 13.6 S4 0.3570 0.3905 80.33 258.84 290.80 1957,400 77.0 14.40 1779.7 0.57 0.01 12.2 S6 0.6574 0.8400 87.24 85.07 116.23 2108,610 192.0 15.40 860.3 0.94 0.00 9.2 S8 0.4047 0.8031 74.37 315.43 346.70 1983,640 92.9 14.50 651.7 1.07 0.0 13.2 S9 0.2724 0.6440 82.41 156.60 150.60 1976,710 51.3 15.10 793.2 0.93 0.02 8.2 S12 0.2987 0.8883 33.56 230.10 317.90 1995,590 58.9 15.50 272.9 1.69 0.01 7.6 S13 0.2641 0.4250 24.70 74.50 245.20 2004,860 49.0 15.80 1242.0 0.69 0.01 10. S14 0.2863 0.9761 100.59 226.38 334.59 2000,120 55.3 15.70 56.0 3.83 0.06 10 S62 0.0905 0.9760 72.76 122.61 42.62 2003,330 9.9 16.10 16.4 7.03 0.04 10 S66 1.5020 0.1280 128.50 92.30 134.00 1771,000 664.0 14.80 10712.4 0.21 0.02 10

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Reflection 1

The first results of the VB2019 Satitarrius program, over a period of 1000 year, show that the performance of the 10 mini BH's around a common BH is very stable. No collisions are observed.

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Reflection 2 - Versus General Relativity

My first impression is that it will be very difficult to demonstrate in any way that the explanation of the movement of the mini BH's around a central BH is outside the scope of Newton's Law and requires General Relativity. In order to simulate the movement of the planets around the Sun, this is different story.

IMO there are two major differences between these two simulations i.e. a simulation of stars around the BH in the center of our Galaxy or a simulation of the planets around the Sun.

• The first difference is that the Center of our Galaxy can be considered at rest while the Sun, being the center of our Solar system is not. This story will change when there is a mini BH discovered which is accompanied with one or two planets. In that sense our moving Sun is a much more interesting object to study in relation to SR than the BH in Sagittarius A*
• The second is that the individual movement of the mini BH's is more or less random compared with the planets around the Sun which is all in the same plane and in the same direction. Specific this second reason is the cause that angle of pericenter of the most inner planet (Mercury) is continuosly influenced by the outer planets. That this effect cannot be completely explained or described by Newton's Law requires a different explanation. One at least is that the forces of gravity don't instantaneous, which is most obvious because the Solar system moves in total through our Galaxy.
• A third reason is that, if you consider S62 (BH #10) this star is influenced from all different directions by the other stars, such that is very difficult to pinpoint anything to a specific star.
  Maybe you can link the simulated beviour of S62 to S1 or S2, but it is very difficult to verify this based on actula observations.
  Compared to our solar system it is easy to show that the influence of the planet Jupiter is the largest.
• BH #10 S62 is the fastest moving star around the BH. Its speed at perihelium is 7% the speed of light. IMO it makes sense to compare such a star which comet Haley. The point is that comets loose material when they are at pericenter. The question is how much. The issue exists for S62. THe question is how much S62 each revolution looses. What we are discussing here is material transport from S62 to the BH.

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Reflection 3 - General Reflection over Sagittarius Project

The Sagittarius Project is a follow up of the Solar System project which consist of a simulation of the planets around the Sun, specific the planet Mercury. The primary purpose was to use to simulate the perihelion shift of the planet Mercury around het pericenter. This is the point closest to the Sun. In reality when you read books about this subject the pictures shown emphasize the aphelion shift. This is the point the farthest away from the Sun.
In fact this is point of the trajectory of the planet Mercury, which is influenced the most when the other planets more or less rotate around the Sun.
This is the reason why in the planet3D simulation Planet3D simulation the position of Mercury at aphelion is emphasized.
This in turn can be the reason that the VB planet3D program and VB Sagittarius program may contain an error based on a incorrect implementation of the parameter w = the argument of the pericenter (P) i.e. angle fron N to P. In stead for w = the angle from N to A is used. Work is scheduled to adress this issue.

As already mentioned the Sagittarius project (as of 20 August 2020) is much less interesting as the Solar System project, specific in relation to the behaviour of the planet Mercury. To read more about this specific subject please study this: Our Galaxy and the movement of planet Mercury , written in 2010.

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Feedback

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Created: 6 August 2020

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