Whakaoti i te (2pi/365-2pi/687)T=2pi

$$( \frac { 2 \pi } { 365 } - \frac { 2 \pi } { 687 } ) T = 2 \pi$$

Whakaoti mō T

$$T = \frac{250755}{322} = 778\frac{239}{322} \approx 778.742236025$$

Ngā Upane mō te Whakaoti Whārite Rārangi

Me whakarea ngā taha e rua o te whārite ki te 250755, arā, te tauraro pātahi he tino iti rawa te kitea o 365,687.

$$250755\left(\frac{2\pi }{365}-\frac{2\pi }{687}\right)T=501510\pi$$

Pahekotia te \frac{2\pi }{365} me -\frac{2\pi }{687}, ka \frac{322}{250755}\times 2\pi .

$$250755\times \frac{322}{250755}\times 2\pi T=501510\pi$$

Tuhia te \frac{322}{250755}\times 2 hei hautanga kotahi.

$$250755\times \frac{322\times 2}{250755}\pi T=501510\pi$$

Whakareatia te 322 ki te 2, ka 644.

$$250755\times \frac{644}{250755}\pi T=501510\pi$$

Me whakakore te 250755 me te 250755.

$$644\pi T=501510\pi$$

Me whakakore te \pi ki ngā taha e rua.

$$644T=501510$$

Whakawehea ngā taha e rua ki te 644.

$$T=\frac{501510}{644}$$

Whakahekea te hautanga \frac{501510}{644} ki ōna wāhi pāpaku rawa mā te tango me te whakakore i te 2.

$$T=\frac{250755}{322}$$