1. Ranon151

    Ranon151 New Member

    Right, I'm saying that if it flew the Great Circle route on a flat Earth, the distance would be over 26,000 miles. On a round earth, the great circle distance is only 6300 miles, easily traveled in 14 hours.
  2. StarGazer

    StarGazer Member

    Debunking the Flat Earth Azimuthal Equidistant Map Projection is much easier than it looks.

    This is the Real Azimuthal Equidistant Map Projection for spherical Earth:


    The Mean Radius of spherical Earth is 3 959 miles
    The Circumference of the Equator for 3 959 miles mean radius is 24 875 miles
    (Circumference Calculator)

    The Distance North Pole - Equator is approx 6 215 miles

    When we flatten a globe onto a 2 dimensional map, one thing must remain constant and that is the Circumference of the Equator.
    Therefore the Flat Earth Azimuthal Equidistant Map Projection would have the following inevitable errors:


    Since the Circumference of the Equator is a circle of approx 24 875 miles then the radius of that circle must be 3 959 miles.

    Difference between 6 215 miles (known distance North Pole - Equator) and 3 959 miles is 6 215 - 3 599 = 2 256 miles or 6 215 / 3 959 = 1.57.
    So we have 2 256 miles less or 1.57 times smaller distance value from the FE North Pole to the FE Equator.

    If flat earthers had to stick to the know distance of 6 215 miles, then:
    The FE Equatorial circumference would have to be 1.57 times larger than the known or 24 875 miles x 1.57 = 39 053 miles

    We know that the Equator divides the Earth in half and we know that a degree of latitude neat the Equator is approx 69.097 miles and diminishes near the poles.

    We also know that the Sun travels on the celestial sphere 15 degrees per hour which also means that it travels 1 degree every 4 minutes (60/15=4).

    Since 1 degree = 69.097 miles and 24 hours a day = 1 440 minutes:

    15 degrees per hour x 69.097 miles = 1 036.455 miles, so 1 036.455 miles x 24 hours = 24 874.92 miles

    The Sun makes 360 degrees circle on both models of the Earth, so 360 degrees x 69.097 miles = 24 874.92 miles

    So the Sun movement at the Equator on the Celestial Sphere also indicates the Equatorial Circumference is approx 24 875 miles.

    The Flat Earth Azimuthal Equidistant Map Projection does Not properly represent parallels and compresses the shapes and sizes of landmasses North of the Equator and extends the shape and sizes of landmasses South of the Equator.

    When we look at the real Azimuthal Equidistant Map Projection, we are looking at spherical Earth form above the North Pole, therefore the circumference of the Equator is 24 875 miles, but since the surface of the Earth is curved, not flat, the distance North Pole - Equator is 6 215 miles, which is not a straight line in spherical geometry, but an arc of spherical Earth with mean radius of the sphere of 3 959 miles.
    Last edited: Oct 25, 2017
  3. Trailblazer

    Trailblazer Moderator Staff Member

    Even without using actual measurements, it's clear that the map cannot be correct: it is drawn with the "equator" at half the radius from the centre.

    So, calling the radius of the whole disc r, the area of the "northern hemisphere" is π x (r/2)2, or (πr2)/4.

    The area of the "southern hemisphere" is πr2 minus the area of the northern hemisphere, or πr2 - (πr2)/4, which equals (3πr2)/4.

    In other words, the southern hemisphere is three times the size of the northern hemisphere on this map.
    • Agree Agree x 1
  4. StarGazer

    StarGazer Member

    Also different circumferences for the FE Sun to traverse throughout the year indicate:

    1. The FE Sun has different velocities in order to maintain the 24h daily cycle. Circling slower at the northern hemisphere and faster at the southern hemisphere.
    2. The FE Sun changes angular diameter, i.e. Shape Shifting Sun. When it's in the northern hemisphere it has smaller angular diameter and when it's in the southern hemisphere it has larger angular diameter.
  5. Amber Robot

    Amber Robot Member

    Do you not see the irony in trying to use a GPS system to prove the round earth?
    • Funny Funny x 1
  6. john Mont

    john Mont New Member

  7. Rory

    Rory Senior Member

    In addition to that flight, and the one that broke its record 30 years later, detailed here, there is also Elgen Long, who was the first to fly around the world over both poles, in 1971:

    Also: Calin Rosetti and Richard Norton in 1987; Dick Smith and Giles Kershaw in 1988/89; Bill Harrelson in 2015; and Miguel Gordillo in 2016.
    Last edited: Nov 26, 2017
    • Like Like x 2
  8. Ashley_75

    Ashley_75 New Member

    I am amused by the irony in trying to use science & scientific arguments to convince a flat-earther, whose only motivation to believe the flat-earth is to prove that science is wrong.
  9. Rory

    Rory Senior Member

    This map appears to show several direct transoceanic southern hemisphere flights that I wasn't aware of, including:
    • Singapore-Johannesburg
    • Singapore-Mauritius
    • Mauritius-Hong Kong
    • Mauritius-Chengdu
    • Mauritius-Ghuangzhou
    • Mauritius-Shanghai
    • Hong Kong-Johannesburg
    There's also a flight on the map from what looks like Sao Paolo, Brazil, to somewhere in Asia. While Wikipedia has a flight to Beijing, at the minute that's only a connecting flight, so not sure what that is, unless it's cargo.

    Note: while not exclusively southern hemisphere, those flights would look vastly different on a flat earth map.
    • Agree Agree x 1
  10. Mick West

    Mick West Administrator Staff Member

    It is from data from 2013, so some routes might no longer exist (or there may be new routes). It's also possible that some are misreported as direct flights when they actually included another stop.
  11. Rory

    Rory Senior Member

    That makes sense.

    The list above I verified on flightbooking websites, so they're currently in operation. Kiwi.com is probably one of the best places for finding southern hemisphere flights, as you can draw circles around large areas and search expressly for direct flights between all places within the radius. Or I look on skyscanner and search for "Brazil to everywhere, direct only", for example.