Mathias KpA quick video to show the amount obstructed with different cameras/lenses 1365mm focal length vs 2907mm. Distance 25km Air/water temperature: 2-4°C, other weather data https://flic.kr/p/S7aa6i Height of Turning Torso: https://flic.kr/p/2f28vnT Observation point: google.com/maps/search/?api=1&query=55.713731,12.620497
Camera 2: Lens: Bresser Messier MC-127 1900mm Camera: Sony NEX-6 Focal length: 1900mm*1.53 = 2907mm Observer height: 3.85m
Photographs and calculations, camera 2: 2019:02:12 16:01:39, day https://flic.kr/p/SFZLay and with 3D model https://flic.kr/p/2fP5whP 2019:02:12 17:31:44, day/night https://flic.kr/p/24dCS5v 2019:02:12 18:35:47, night https://flic.kr/p/24dCRjH Observer height: 3.85m Obscured observed: 21.3m Obscured on a globe Earth, geometrical: 25.42m Obscured on a globe Earth, geometrical with std. 7/6 refraction: 20.45m
Comparison of amount obstructed and quality with different cameras and lensesMathias Kp2019-05-24 | A quick video to show the amount obstructed with different cameras/lenses 1365mm focal length vs 2907mm. Distance 25km Air/water temperature: 2-4°C, other weather data https://flic.kr/p/S7aa6i Height of Turning Torso: https://flic.kr/p/2f28vnT Observation point: google.com/maps/search/?api=1&query=55.713731,12.620497
Camera 2: Lens: Bresser Messier MC-127 1900mm Camera: Sony NEX-6 Focal length: 1900mm*1.53 = 2907mm Observer height: 3.85m
Photographs and calculations, camera 2: 2019:02:12 16:01:39, day https://flic.kr/p/SFZLay and with 3D model https://flic.kr/p/2fP5whP 2019:02:12 17:31:44, day/night https://flic.kr/p/24dCS5v 2019:02:12 18:35:47, night https://flic.kr/p/24dCRjH Observer height: 3.85m Obscured observed: 21.3m Obscured on a globe Earth, geometrical: 25.42m Obscured on a globe Earth, geometrical with std. 7/6 refraction: 20.45m
#TurninTorsoFlatEarthFresnel lens, function demonstrated using pen laser pointerMathias Kp2020-07-23 | A quick video to demonstrate how a fresnel lens works and how much it can change the path of light. In the video I used a fresnel lens sheet. en.wikipedia.org/wiki/Fresnel_lensFebruary 12 2019, Turning Torso 2Mathias Kp2020-06-27 | Some more footage from the same day youtube.com/watch?v=8TvlCSZp2aw and youtube.com/watch?v=TX7Obu1k-Cg Photo: https://flic.kr/p/2jfRMN6
#TurningTorsoMathiasFebruary 12 2019, Turning Torso 1Mathias Kp2020-06-27 | Some more footage from the same day youtube.com/watch?v=8TvlCSZp2aw Photo: https://flic.kr/p/2jfRMN6
#TurningTorsoMathiasBlack or white swan, Turning Torso seen over 21 daysMathias Kp2020-02-28 | Over the last couple of months there have been some discussion about bmlsb69 “black swan” observation(s) youtube.com/watch?v=2e3-XVQnFzM that has a horizon far from where it would be on a globe Earth.
I thought it would be interesting to go out and make the same observation over 21 days, and see if I would get obstruction or no obstruction most of the time.
On a different day (19th of March 2019) I used an app to get the position of the ferry. I made a collage with all the needed data to calculate amount obstructed here https://flic.kr/p/2dVCxfR I also made a stabilized timelapse youtube.com/watch?v=T3jus582qGcTurning Torso obstruction, telescope video, 12th February 2019Mathias Kp2019-05-12 | Video taken from 25km of distance and 3.85m of height. Focal length: 2907mm, 1900mm telescope with a SLR camera with a crop factor of 1.53
Photographs: 2019:02:12 16:01:39, day https://flic.kr/p/SFZLay and with 3D model https://flic.kr/p/2fP5whP 2019:02:12 17:31:44, day/night https://flic.kr/p/24dCS5v 2019:02:12 18:35:47, night https://flic.kr/p/24dCRjH
Distance 25km Observer height: 3.85m Air/water temperature: 2-4°C, other weather data https://flic.kr/p/S7aa6i Obscured observed: 21.3m Obscured on a globe Earth, geometrical: 25.42m Obscured on a globe Earth, geometrical with std. 7/6 refraction: 20.45m Height of Turning Torso: https://flic.kr/p/2f28vnT Observation point: https://www.google.dk/maps/@55.7138615,12.6207295,20z
#TurningTorsoFlatEarthTurning Torso obstructed, no sign of compression or 4m tall wavesMathias Kp2019-05-07 | Photo taken from 25km of distance and 3.7m of height. 1900mm telescope with SLR 1.53 crop factor - 2907mm Photographs: 2019:02:12 16:01:39, day https://flic.kr/p/SFZLay and with 3D https://flic.kr/p/2fP5whP 2019:02:12 17:31:44, day/night https://flic.kr/p/24dCS5v 2019:02:12 18:35:47, night https://flic.kr/p/24dCRjH
Amount obscured matches a refraction coefficient k of ~0.12 Distance 25km Observer height: 3.85m Air/water temperature: 2-4°C Obscured observed: 21.3m Obscured on a globe Earth, geometrical: 25.42m Obscured on a globe Earth, geometrical with std. 7/6 refraction: 20.45m Height of Turning Torso: https://flic.kr/p/2f28vnT Observation point: https://www.google.dk/maps/@55.7138615,12.6207295,20z
#TurninTorsoFlatEarthFerry from Bornholmslinjen behind horizon, 30x stabilized, March 19th 2019Mathias Kp2019-03-25 | A 30x speed and stabilized version of my 2nd recording of a ferry disappearing bottom up while sailing away.
On a different day (19th of March) I used an app to get the position of the ferry. I made a collage with all the needed data to calculate amount obstructed here https://flic.kr/p/2dVCxfR Ferry height estimated based on photographs: 24m Observer height: 4.05m Distance: 21.6km Amount hidden geometrical on globe Earth: 16.3m Amount hidden including std. refraction on globe Earth: 12.9m Amount hidden observed: ~13.3mFerry from Bornholmslinjen behind horizon, March 19th 2019Mathias Kp2019-03-25 | The first time I filmed this ferry I didn’t have a tripod with me but this time I did. The visibility wasn’t as clear but still good so we can see details on the ferry like the two funnels/chimneys .
I also made this video at 30x speed where I centered the footage youtu.be/T3jus582qGc
I made a collage with all the needed data to calculate amount obstructed here https://flic.kr/p/2dVCxfR Ferry height estimated based on photographs: 24m Observer height: 4.05m Distance: 21.6km Amount hidden geometrical on globe Earth: 16.3m Amount hidden including std. refraction on globe Earth: 12.9m Amount hidden observed: ~13.3mFerry from Bornholmslinjen behind horizon, 30x stabilized, March 11th 2019Mathias Kp2019-03-23 | A ferry from Bornholmslinjen disappearing behind the horizon. The original footage was very shaky so I made a stabilized version. I wanted a nice clear timelapse with the ferry center frame. For the best result I had to manual position, scale and rotate each frame. Full video: youtube.com/watch?v=hKcSRwfsDxk
On a different day (19th of March) I used an app to get the position of the ferry. I made a collage with all the needed data to calculate amount obstructed here https://flic.kr/p/2dVCxfR Ferry height estimated based on photographs: 24m Observer height: 4.05m Distance: 21.6km Amount hidden geometrical on globe Earth: 16.3m Amount hidden including std. refraction on globe Earth: 12.9m Amount hidden observed: ~13.3mExtreme variable refraction on Turning Torso, full videosMathias Kp2019-02-10 | Extreme variable refraction observed over 1.5 hour with zoom camera and an auto level. For a shorter version see youtube.com/watch?v=SmWyi7rM-NM
Date: 20th May 2018 Air temperature ~25°C Water temperature: ~10-15°C
0:13 - Photos 0:36 - Video 13:21 Auto level 14:23 Auto level 15:34 Video 17:45 Auto level, photo 17:50 Video (22:07 boat with only white mast visible. 20:20 boat with only black sail visible) 29:14 Auto level 30:53 Auto level, photo 30:58 Video
#TurningTorsoFlatEarthExtreme variable refraction on Turning TorsoMathias Kp2019-02-09 | Some footage I took on a very hot spring day last year. Auto level view side by side at 2:46 and photographs side by side at 3:01. For uncut videos see youtube.com/watch?v=c4U3ca4ZrcY
I made an error to some of the timestamps of the footage, see my other video for correct timestamps youtube.com/watch?v=c4U3ca4ZrcY .
For the timelapse at 2:21 I had not tighten the tripod head correctly, so the heavy lens made the camera tilt a little bit downwards.
Date: 20th May 2018 Air temperature ~25°C Water temperature: ~10-15°C
#TurningTorsoFlatEarth11 min of Turning Torso obstructed by waterMathias Kp2019-02-02 | 11 minutes of bottom of Turning Torso obstructed. Tank ship "crushing" small boat at 8:56.
#TurningTorsoFlatEarthMirage, 2h timelapse around sunrise of Turning TorsoMathias Kp2019-01-27 | Photos of a mirage through 3h, and a 2h timelapse around sunrise. Weather data shown at: 0:40, air -1°C and water 4°CMirage, 3h timelapse around sunset, Turning TorsoMathias Kp2019-01-09 | Photos of a mirage through 8h, and a 3h timelapse after sunset. Weather data shown at: 0:25Calculating radius of globe Earth using horizon dropMathias Kp2018-12-21 | A short video showing how to calculate the radius of a globe Earth using Al-Birunis method with angle of the horizon drop and observation height.
Two years ago I did some four observations of Turning Torso from four different heights. In those observations there is quite a lot of change in compression, so I made some measurements on them.
Observer height: 0.4-17.2m Distance: 28.5km Weather: Summer (not sure but around 15-25ºC ) Results: https://flic.kr/p/28YnNTT
#TurningTorsoFlatEarthWhy height matters, Turning TorsoMathias Kp2018-11-21 | On a globe Earth with atmosphere we would expect obstruction and an amount of drop a little lower than the geometrical calculated value.
In this video I show that the closer the sightline is to the water or ground the less the observations matches a globe Earth.
The observation of obstruction with the sightline just over water was distorted. The auto level observation from 3.7m showed more drop than expected and from 65.5m we got an intersection just a little less than expected. That’s why height matters, much less variable refraction.
#TurningTorsoFlatEarthDIY, radius of the Earth, using obstructionMathias Kp2018-11-12 | Just a quick video to show what kind of value for radius of the Earth one can get using observations of obstruction.
#TurningTorsoFlatEarthHow to fake obstruction on a flat surfaceMathias Kp2018-10-27 | In some videos people claim a flat surface will have obstruction. I took a closer look at that claim.Can we see further using infrared (IR) on Turning Torso?Mathias Kp2018-10-22 | The newest thing in flat land seems to be infrared photography, which is actually pretty cool.
Let’s take a look at if we can bring back the view of the bottom of Turning Torso when observed from 28.km and with an observer height of 5.9m.
If you just want the result, look at 3:00
Still image of the comparison, better quality than the video: https://flic.kr/p/2cjX7YF
#TurningTorsoFlatEarthBuoyancy, density, acceleration and pressureMathias Kp2018-09-19 | A short video on how to see that buoyancy is a result of acceleration.Star trails and the shape of the EarthMathias Kp2018-09-16 | Star trails seen at 55°N looking towards north, west and south, from 2:09 comparison of my observations with 3D models of globe Earth and flat Earth.Black ball with visible flat horizon and obstruction v3Mathias Kp2018-09-11 | Some people claim a sphere can't have a flat horizon and obstruction at the same time.
To test this I used the sculpture Elia, the top is based on a sphere with the radius of 42m.
Info on Elia: https://elia.dk/en/Flat plane vs large sphere vs realityMathias Kp2018-09-01 | Comparison of observations on a flat surface/plane, the top of a very large sphere with the radius of 42m, and reality.
Some info of the very large sphere, Elia: https://elia.dk/en/ Turning Torso video: youtube.com/watch?v=MoK2BKj7QYkStar trails, east-north-east, 55NMathias Kp2018-07-28 | Startrails made from two hours of footage. 28th of July 2018 Looking east-north-east at latitude 55N Full moon, just after blood moon lunar eclipse
Camera: GoPro HERO5 Black at wide "lens setting" Software: StarStaX https://www.markus-enzweiler.de/software/software.htmlZooming in on the horizon of a 150cm big ballMathias Kp2018-07-23 | Zooming in on the horizon on a 150cm big ballBlue ball with visible flat horizon and obstruction v2.0Mathias Kp2018-07-23 | I have previously made a video about the flat horizon on a ball, and there were some objections to lack of focus, so I decided to make a new video.
Now with a ball with a diameter of about 150cm.
I later on made another video with the top of a sculpture, based on a sphere with radius = 42m, youtube.com/watch?v=GDFEc81oP84Sunset, three cameras, from 76mMathias Kp2018-07-17 | Sunset, filmed with three different cameras Date: 1st of July 2018 Observer height: 76m Weather data: flickr.com/photos/138443523@N08/42758531764 Solar filter put on at: 5:05 10:23 16:34 24:14 29:52 32:58Weird sunset, warm summerdayMathias Kp2018-07-14 | Sunset observed with Sony NEX-6 and a MC MTO-11CA 1000mm Observer height: 76m Date: July 1st 2018 Location: 56.559670 N, 8.326426 E Weather: Warm summer daySunset, three cameras, from 14mMathias Kp2018-07-10 | Sunset observed with different cameras/lenses/filters. Observer height: 14m Date: 2018-06-30 Location: 56.52776 N, 8.11822 E Weather: Warm summer day, more data here flickr.com/photos/138443523@N08/29458671118Midsummer night timelapse, DenmarkMathias Kp2018-06-30 | A timelapse of nine hours. From 9 in the evening to 6 in the morning. With about six hours of the Sun being below the horizon. Location Lemvig, Denmark https://www.google.dk/maps/place/56.5747,8.2867Blue ball with visible flat horizon and obstructionMathias Kp2018-06-24 | Just a quick illustration to show a ball can have a visible flat horizon, and at the same time obstruction. The ball I use only has a radius of 25cm, a much better demonstration by Movie Vertigo using a globe with a radius of 150cm youtube.com/watch?v=aMY9Vd8Ym5QGræskarplante, timelapse, 24 timer på ét minutMathias Kp2018-06-11 | Græskar plante (Atlantic Giant). 24 timer på ét minut, 50 dage siden frøet blev sået og 40 dage siden planten spirede.
Pumpkin plant (Atlantic Giant). 24 hour in one minute, 50 days since the seed was planted, and 40 days since the plant sprouted.Sunshine on a plane after sunsetMathias Kp2018-06-10 | Just after sunset I captured this plane fully lit by sunshine. It makes you wonder how is that possible?Perspective vs a curved surfaceMathias Kp2018-06-06 | Perspective vs a curved surface in 1min. Which one can hide the bottom of objects?Græskar kimplante timelapse, 3 dage på et minutMathias Kp2018-05-04 | Græskar af sorten Atlantic Giant spirer. Sidste del dag 7 til sidste på dag 10 på ét minut.
Pumpkin seed sprouts, last part of day 7 to the end of day 10.Timelapse 2h, Charlottenlund to Turning TorsoMathias Kp2018-04-27 | Timelapse 2h, 20x speed, Charlottenlund to Turning Torso. Also check out the more in dept video youtube.com/watch?v=FPo77ukuHF8
Camera height: 17.2m Distance to Turning Torso: 28.5km Air temperature: 1-3°C Water temperature: 2-3°C Day photograph: https://flic.kr/p/26z9zne Night photograph: https://flic.kr/p/26z9z8M
#TurningTorsoFlatEarthUsing auto level to measure Earth surface drop on Turning TorsoMathias Kp2018-04-26 | With an auto level I measured the visual drop of the surface of the Earth. If you just want the results fast forward to 10:20.
Weather data at 9:43 LiDAR pointcloud: 1:14 Air temperature: 1-3°C Water temperature: 2-3°C Timelapse, 20x speed: youtube.com/watch?v=GHuv4cCwPgc Day photograph, 15:00: https://flic.kr/p/26z9zne Night photograph, 20:44: https://flic.kr/p/26z9z8M Day/night overlay: https://flic.kr/p/GVjs6R Calibration, two peg test: https://flic.kr/p/26BCcBn
#TurningTorsoFlatEarthSun , April 19th 2018, from Lemvig, DenmarkMathias Kp2018-04-19 | Footage of the Sun, taken on April 19th 2018 at 6:52 from Lemvig, Denmark. google.com/maps/place/56.547040,8.300246Timelapse 2h, Amager Strand to Turning TorsoMathias Kp2018-04-15 | Timelapse 2h, 20x speed, Amager Strand to Turning Torso. Ships crossing at: 2:21 2:24 3:03 3:18. Also check out the more in dept video youtube.com/watch?v=hEAyKb8wSZY
Because of the wind the camera moves a little bit. So I also made a timelapse 1 frame per 5min with framegraps positioned at the same point over each other, minimizing the effect from the wind: youtube.com/watch?v=hEAyKb8wSZY&t=81s
Camera height: 0.8m Distance to Turning Torso: 21km Air and water temperature, 2-3°C More weather data can be seen here, https://flic.kr/p/24MHUuK Observation point: http://maps.google.com/maps?q=55.6523,12.64811
Height of Turning Torso, https://flic.kr/p/UHaPbQ Daylight photo, https://flic.kr/p/24LsFgM Night photo, 5sec, https://flic.kr/p/24LsEXv Night photo, 10sec, https://flic.kr/p/GtqNua
#TurningTorsoFlatEarthWhy is the bottom part of Turning Torso behind water?Mathias Kp2018-04-14 | Two hour timelapse of the view to Turning Torso over 21km, starts at 1:14 . No sign of varying refraction or mirages. Still the bottom part 22m is obscured by water, while observing from 0.8m.
Height of Turning Torso, https://flic.kr/p/UHaPbQ Daylight photo, https://flic.kr/p/24LsFgM Night photo, 5sec, https://flic.kr/p/24LsEXv Night photo, 10sec, https://flic.kr/p/GtqNua
#TurningTorsoFlatEarthDrop of the horizon, measured with theodolite, 5m to 184mMathias Kp2018-03-10 | In this video I show how to measure the drop of the horizon from eyelevel, using a theodolite. I have done nine observations from 5m to 184m of altitude. The measurements from these nine altitudes and locations I then compare to what we would expect with the globe Earth model (a sphere with the radius of 6371km). I also estimate the influence of mirages. If you just want the conclusion go to 31:18. Data can also be seen on https://flic.kr/p/Djjzjx
Table of Contents: 01:15 Accuracy and precision test 04:42 Error correction 05:08 Comparison with globe Earth and refraction 05:46 Measurement at 5m 08:55 Measurement at 20m 12:01 Measurement at 36m 15:00 Measurement at 43m, at 15:55 a ship is sailing by on the horizon 17:32 Measurement at 59m, at 18:25 ship is sailing by on and below the horizon 20:53 Measurement at 72m 23:38 Measurement at 97m 25:40 Measurement at 127m 27:47 Measurement at 184m 29:22 Mirages 31:21 Conclusion
Theodolite model: Geo-Fennel FET 500 Link to manual for the theodolite: http://www.geo-fennel.de/uploads/tx_produkte/FET_500.pdf About refraction, take a look at Hirt et al. 2010: Refraction Coefficient Monitoring http://onlinelibrary.wiley.com/doi/10.1029/2010JD014067/fullSunset 7m, January 7th 2018Mathias Kp2018-01-14 | Sunset, January 7th 2018, Denmark Sunset starts at: 16:25 and ends around 21:39 Bottom of ship below horizon at 22:46 Position: 56.5782N 8.1339EISS lunar transit, Lemvig Denmark, January 8th 2018Mathias Kp2018-01-08 | ISS lunar transit at 5min and 33 sec past 5 o’clock, precisely as predicted by https://transit-finder.com. The calculation behind this is really amazing. Composite of the total transit can be seen here, https://flic.kr/p/Jn3Er2 A new version with some text added, can be seen here: youtu.be/A4_jwTC2tGA Camera: Canon PowerShot SX60 HS Video: FHD 60 fps Shutter speed: 1/125 sec Aperture: f/6.5 Focal length: 1365mm ISO: 100 Date: January 8th 2018 Location: Lemvig, DenmarkDen flade horisont på en kugleformet JordMathias Kp2018-01-06 | Hvis Jorden er en kugle, burde horisonten bue lidt nedad og være under vandret. I denne video viser jeg at det dog er så lidt at det næppe er synligt, men med en teodolit er det faktisk muligt at måle vinklen fra vandret.
Jeg har gentaget denne form for måling ni forskellige gange fra 5m til 184m højde, på billedet her ses resultatet https://flic.kr/p/Djjzjx .Measuring 8in per mile squared on Turning Torso, using a theodoliteMathias Kp2017-11-14 | 8 in per mile squared is the allegedly drop of a horizontal line, on the globe model of the Earth. In this video I will show if I using a theodolite can measure this drop. The first part of the video deals with finding first hand accurate height measurements for the observation point and for Turning Torso, the result can be seen at 11:50
Table of contents: Height of observation point, 1:08 Ground height at Turning Torso, 2:43 Height and dimensions of Turning Torso, 3:55 Calculations of drop on a globe Earth, 7:27 Calculations of refraction on a globe Earth, 7:50 Theodolite observation, 8:36 Error of measurement, 11:15 Result, 11:50
As you might notice this footage was recorded in windy conditions which caused the theodolite to move a little bit up and down. It would have been better to do the observation in less windy weather, but the visibility this day was exceptional clear, and most other days it will not be this clear. So I favored clear bouncy footage over blurry still footage.
The preferred way to measure with a theodolite is to do several observations turning the theodolite 180 degrees to minimize errors. But since I thought the error from the wind would be larger I chose not to, and also to simplify the observation for a later video. Looking back, I should properly have done more observations, since the uncertainty of intersection caused by the wind, could be averaged to minimize the error.
When measuring with a theodolite it is also important to have it calibrated on a regular basis. Since I just bought this theodolite and it had been stored away for some time, it properly has not been calibrated for a long time. I should have followed the prescribed method for calibrating the theodolite before using it, but I didn’t. Testing the theodolite afterwards I can see it has a small error, and also since it does not have an electronic angle reader there is also a small error from how precise I can position the telescope. From my testing this might lead to an error as large as 8m/26ft when used over a distance of 29.14km/18.11mi. Using a well calibrated professional electronic theodolite will likely reduce this possible error significant.
When I combined the estimated error of measurements I used a loose simple summation, and not the proper scientific way in order to keep the video as simple as possible.
Theodolite model: Geo-Fennel FET 500 Link to manual for the theodolite: http://www.geo-fennel.de/uploads/tx_produkte/FET_500.pdf
The observation with the thodolite was done on the 27th of October 2017.
Altimeter measurements were done from March to August 2017.
Weather conditions from https://www.dmi.dk/vejr/arkiver/vejrarkiv/: Highest temperature of the day: 11 °C Average temperature of the day: 10 °C Lowest temperature of the day: 7 °C Humidity: 86 % Air pressure: 1015 hPa Highest wind speed: 17 m/s Highest wind speed, average 10 min: 13 m/s Direct sunshine: 2 hours
#TurningTorsoFlatEarthHorizon measured below eye level using theodoliteMathias Kp2017-10-24 | I have bought this used mechanical theodolite for about 250€. It is not the most accurate model, but accurate enough to get an idea of the drop of the horizon.
Theodolite model: Geo-Fennel FET 500
Link to manual for the theodolite: http://www.geo-fennel.de/uploads/tx_produkte/FET_500.pdf