Using North Korean Missile Development to Enhance Student Interest in Kinematics and Newtonian Mechanics

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1 Using North Korean Missile Development to Enhance Student Interest in Kinematics and Newtonian Mechanics Kendall Mallory Aims Community College University of Northern Colorado

2 Recent Events Missile Development May 14 th 017- Hwasong-1 Launch Japan, Guam July 4 th Hwasong-14 Launch Anchorage July 8 th Hwasong-14 Launch - Seattle Nov 9 th Hwasong-15 Launch San Diego, Washington, etc Nuclear Submarine Development Nuclear Weapons Development Aug 6 th kt, for comparison purposes Oct 9 th kt, maybe a fizzle May 5 th kt Feb 1 th kt Jan 6 th kt Sept 9 th kt, claimed to be small enough for use as a warhead on a missile Sept 3 rd >100 kt (wide range of estimates), claimed to me a hydrogen bomb and it generated a tremor of magnitude 6.1. (Double Tremors)

3 Intercontinental Ballistic Missiles Wikipedia, Dec. 017 Ballistic Missile Minuteman-III MIRV launch sequence : 1. The missile launches out of its silo by firing its 1st-stage boost motor (A).. About 60 seconds after launch, the 1st stage drops off and the nd-stage motor (B) ignites. The missile shroud (E) is ejected. 3. About 10 seconds after launch, the 3rd-stage motor (C) ignites and separates from the nd stage. 4. About 180 seconds after launch, 3rd-stage thrust terminates and the Post-Boost Vehicle (D) separates from the rocket. 5. The Post-Boost Vehicle maneuvers itself and prepares for re-entry vehicle (RV) deployment. 6. The RVs, as well as decoys and chaff, are deployed. 7. The RVs (now armed) and chaff re-enter the atmosphere at high speeds. 8. The nuclear warheads detonate.

4 Korean Launch Data Data May 14th July 4th July 8th Time of flight 30 min 37 min 47 min Horizontal Distance 787 km 933 km 998 miles Altitude (Apogee) km 80 km km Possible Range 4000 to 6000 km 6700 km km Missile Type Hwasong-1 Hwasong-14 Hwasong-14 Landing Site Sea of Japan Japan s exclusive economic zone Launch Site Kusong test site Panghyon Aircraft near Panghyon Airport Near Hokkaido, Japan Chagang Province

5 Korean Launch Data Data Aug 9th Sept 15th Nov 9th Time of flight 17 min 53 min Horizontal Distance 700 km 3700 km 950 km Altitude 550 km 770 km 4475 km Possible Range Missile Type Hwasong-1 Hwasong-1 Hwasong-15 Landing Site Past Hoddaido Past Hokkaido, Japan s exclusive economic zone Launch Site Sunan Airfield Pyongsong

6 Projectile Motion as Commonly Presented in Physics Classes Randell D. Knight, Physics for Scientists and Engineers, taken from Mastering Physics, Pearson, 017

7 Solving the simple problem Vertical Motion Horizontal Motion t f v 0 sin g range v 0 sin g h v 0 sin g range max v 0 g when 45deg

8 Approximations when applied to ballistic missiles Approximations when applied to ballistic missiles Flat Earth Constant Acceleration Due to Gravity Time for rockets to fire Effects of drag while in the atmosphere Effects of the Earth s rotation

9 Kepler s Sub-Orbits r

10 Inverse Square Law and Ballistics E E g GM m L l m E h r l r r l r h r m M G F,, Where : Angular Momentum Energy and Conservation of 1 cos 1 to Kepler's laws leads This b y a x B A r

11 Range (m) Range vrs Specific Impulse Reported, Maximum, Flat Earth 1.0E E E E E+06.00E+06 Miami, FL Washingto DC San Diego, CA Seattle, WA Anchorage, AK Kepler Actual Flat Earth Reported 0.00E E E E E E E E+0 Specific Impulse (sec)

12 Launch Angle (deg) Launch Angles vrs Specific Impulse E E E E E E E+0 Specific Impulse (sec)

13 Range (m) Flat Earth Estimates of Range 1.0E E E E E+06 Kepler Crude Avg g Flat Earth Average g.00e E E E E E E E E+0 Specific Impulse (sec)

14 Integrand Computing Time of Flight.00E E E+04 t flight 1 l target launch d Acos B 5.00E E E E E E E+00 Theta (rad) t R E or use the area r l R E REh h l R E h Range l R E under the curve! Range

15 Time of Flight Error % Time of Flight Errors E E E E E E E Feynman RE RE+h Area Under Curve Flat Earth Corrected Flat Earth Specific Impulse (sec)

16 Range (m) Range vrs Specific Impulse.00E E E E E E E E E+06.00E+06 Miami, FL Washingto DC San Diego, CA Seattle, WA Anchorage, AK 0.00E E E E E E E E E E+0 Specific Impulse (sec)

17 Conclusions and Extensions Lots of opportunities for student projects and labs Kinematics, momentum, energy, angular momentum, modelling, data Models some possible career paths, data analytics, analysis Improvements and Similar Labs I m using Finite engine burn time. Atmospheric Drag Massing the Sun with planetary orbits. (Can include error analysis, hypotheses testing.) Massing binary Stars (Rigel). (Can include error analysis, hypotheses testing)

18 Thanks