Kepler's Second Law via Differential Equations

แชร์
ฝัง
  • เผยแพร่เมื่อ 1 ม.ค. 2025

ความคิดเห็น • 15

  • @piotr5432
    @piotr5432 10 หลายเดือนก่อน +1

    I subscribed as soon as I saw the glass writing board, I love it

    • @mikethemathematician
      @mikethemathematician  10 หลายเดือนก่อน

      @piotr5432 Thanks! Any video requests? I am filming tomorrow!

  • @ECE621
    @ECE621 10 หลายเดือนก่อน

    Can you make a lectures for Electronics and communication engineering?

  • @Jhfm1793
    @Jhfm1793 10 หลายเดือนก่อน +1

    Hey Man great videos but in this particular one I wish you explained a bit better (graphically) what ^e1 and ^e2 are. You lost me at the beginning and it was hard to catch up.

    • @mikethemathematician
      @mikethemathematician  10 หลายเดือนก่อน +1

      @jfaller4454 sorry I went quickly! I always get too excited when recording mathematics! I will try my best to slow down! Can you guess the most frequent comment on my student evaluations?
      “The guy flys! He gets too excited!”

  • @Max-ww7iz
    @Max-ww7iz 10 หลายเดือนก่อน

    can you explain what is meant by hat(e1) and hat(e2)?
    Does hat(e1) just describe the coordinates of the circle around the sun, parametrized in theta while hat(e2) is always orthogonal to it?

    • @mikethemathematician
      @mikethemathematician  10 หลายเดือนก่อน +1

      Sure thing! e_1 =(cos theta, sin theta) is the unit radial vector and measures the angle between the line segment from the origin and the particle. It changes over time. The hat simply means it is a unit vector. e_2 (hat) is the unit vector orthogonal to this to form a basis! Since the force is radial, only the e_1 component is non-zero!

  • @juancarlossanchezveana1812
    @juancarlossanchezveana1812 10 หลายเดือนก่อน

    Excellent 👌🏻

  • @markerguy
    @markerguy 10 หลายเดือนก่อน

    can you pls explain to me the sorcery you are doing while writing like are you writing backwards or what just tell me !

    • @kanchannegi3476
      @kanchannegi3476 10 หลายเดือนก่อน

      he writes normally and flips the frame of video in post

    • @mikethemathematician
      @mikethemathematician  10 หลายเดือนก่อน

      Thanks! @@kanchannegi3476

    • @mikethemathematician
      @mikethemathematician  10 หลายเดือนก่อน +1

      @kanchannegi3476 is right! I have the camera mirror the image!

    • @OmateYayami
      @OmateYayami 10 หลายเดือนก่อน

      Easy, you can do that yourself. Take some marker and write something so that is visible on the other side. You will make a glass board from the paper.
      Then take a picture of the see through side with your phone, and flip the image horizontally.
      That's why Mike appears lefty in the video. He really is right handed... Unless he is and writes everything backwards on the spot xD

    • @markerguy
      @markerguy 10 หลายเดือนก่อน

      @@kanchannegi3476 thanks for the answer