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June 28, 2024 started, July 24 revised.
Takanori Senoh
Introduction
The Earth motion can be observed through the displacement of a laser beam spot position. When the laser beam is fixed to North/South direction, the spot position moves depending on the Earth rotation. From this displacement, the Earth motion ES in the Earth orbit plane in the Solar system is obtained. When the beam direction is switched between East and West, the spot position displacement indicates the Earth motion along the Earth axis. The Earth motion vector E is obtained by combining these two motion vectors. The end of the vector E is on the intersection line of two tangent planes of these normal vectors ES, EN.
2. Measurement Equipment
As same as before, two types of laser system of 1.725m light path length which beam direction is switched between East and West, and the laser system of 3.15m light path length which beam direction is fixed to South, were used to observe the laser beam spot position displacement in June 20, 00:02 to 21 (Summer solstice), 23:54, every 3 hours.
3. Observation Result
Following figures show the typical picture of lase beam spots taken by switching the beam direction of the light path length of L=1.725m between East and West. The figure underneath is the graph of the spot positions. From all pictures, ones of June 21, 12:00 and 24:00 are removed because the nearby earthquakes were reported around these times (June 21, 11:48 at Kyoto North area, M1.0 and June 21, 24:42 at Kyoto South area, M=1.5). In this time observation, the vertical displacement of the spot position when the beam direction is switched is almost same as the previous observation, around 0.2mm, except for one exception. The horizontal displacement (North or South) was about half (0.2mm) of the previous observation (0.4mm). The average were horizontally ΔX＝0.13mm (half of previous value) and vertically ΔHeight＝0.18mm (close to before).
When assuming this displacement is caused by the Earth motion along the Earth axis, because its height displacement of the spot must be zero, the measured ΔHeight must be generated by the unsymmetrical floor undulation. From this reason, ΔHeight is discarded. The Earth speed EN along the Earth axis is estimated from the horizontal displacement ΔX, which is tolerant of the external disturbance. Because the angle between Japan North/South direction and the Earth axis is 35 degrees,
EN = light speed C / light path length L × ΔX / 2 / cos35° = 300000/1725×0.13/2/0.819 = 13.8km/s
This value is about 1/3 of the previous observation result EN=42.5km/s. The motion direction was same as before, from South to North. The reason why this speed reduced in a half year to about 1/4 of the first measurement of EN=59.5km/s on January 2024, might be because the blackhole in the center of our Solar galaxy is orbiting around the blackhole in the center of Milky-way galaxy in a short period.
Following figure is the typical beam spot pictures of North to South direction with the light path length of L=3.15m taken in the same time. The figure underneath left is the graph of all spots. The right figure is the graph of two-days average, every 3 hours, excepting the spots close to the reported nearby earthquakes.
In this graph, a large height displacement of 0.2mm was observed from 03:00 to 15:00 direction, and also the displacement of 0.15mm from 06:00 to 18:00 direction. By averaging these displacements, the Earth horizontal motion of 0.175mm was estimated from 04:30 to 16:30 direction. By converting this displacement to the Earth speed EH,
EH = light speed C / light path length L × ΔHeight = 16.67km/s
The horizontal displacement (East/West) was small as same as before, 0.05mm from 00:00 to 12:00 direction, or 0.1mm from 09:00 to 21:00 direction. If the Earth horizontal motion exists from 04:30 to 16:30 direction, the reason for these small horizontal displacements will be because the angle between the Earth motion direction and the Japanese East or West direction is large, near to 90 degrees.
Consequently, the Earth motion in the Earth orbiting plane (same as our Solar galaxy plane) is estimated from this vertical displacement EH. When assuming this displacement is the vertical component of the Earth motion E, the angle between the Earth motion and Japanese vertical direction becomes 29.15 degrees by dividing internally the angle of 11.6 degrees at noon 12:00 and 35 degrees at evening 18:00. The vertical component of this motion E becomes Ecos29.15°=0.873E. In the same way, the angle at morning 04:30 becomes 40.85 degrees by internally dividing the angle 58.4 degrees at midnight 00:00, and 35 degrees at morning 06:00. The vertical component of this motion E becomes Ecos40.85°=0.756E. By combining these components, The total vertical displacement becomes EH=0.873E+0.756E=1.63E. From this relationship, the Earth motion E in the Solar galaxy plane is
E=EH/1.63=10.23km/s
At this moment, because the Earth orbiting direction of V=30km/s is opposite to the Solae system motion of S=220km/s, the Earth motion E=10.23km/s must be the vector composition of this difference S-V=190km/s and the Solar galaxy motion G. From this relationship, the direction of our Galaxy motion becomes slightly left turned from the opposite direction to the Solar system motion S, and its speed is
G≒(S-V)-Ecos22.5°=180.6km/s.
3. What Result tells
This time observation is consistent to the observation so-far. As shown in the following left figure, the direction and the speed of our Galaxy motion G is swinging left and right, also back and forth, centering the negative Solar system motion S. This motion change is also observed in the Earth axis direction. These motion changes strengthen the thought that the blackhole in the center of our Solar galaxy is orbiting around the blackhole in the center of Milky-way galaxy.
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