Inherent ability = difficulty * accomplishment. 2

All of Physics is this “Inherent ability = difficulty * accomplishment”. Thats just intuitive but can easily be seen to correspond mathematically with the Principle of least action.

First the edifice: whats the problem? The problem is given you move in straight line when every direction is same around you, which direction will you chose? While you are waiting for a good answer from astrologers intelligent people already give a good hint. Think you have some inherent ability which is fixed.

fixed: which changes only if estimated wrong.

That inherent ability is actually action. Accomplishments are adjusted for difficulties, you waded through a swamp 5 meters you would have accomplished in sand 8 meters with that given inherent ability called action. Because action is abstract we have been sticking to time and path-length, but they are not as fundamental, they are merely specifics. More…

Aberrations; a lecture in Optics. 4

Optical systems are studied under two assumptions

object point does not lie far away from the axis of the optical system.

rays taking part in image formation make a small angle with the axis of the optical system.

The domain of optics where above two assumptions are valid is called as Paraxial optics. Paraxial systems are highly idealized and in reality do not perfectly represent the situation. The consequential errors in image reconstruction are known as aberrations.
The paraxial assumption can be represented by truncating at the first term of the polynomial expansion of the sin function by the Maclaurin series. More…

Addendum to Coriolis Force; Definition of Centripetal Force. 2

We need to understand first that Force can be categorized into two types. One is called tangential or collinear force. This component of the force is always along the direction of motion and changes speed of an object. It can change direction once the velocity of the object has become zero. Its NOT centripetal force. It can never make an object go in a plane or 3 D trajectory, as the motion is limited to only one dimension. The object can only go back and forth.

Now look at the other component. Its called a radial force. Its always perpendicular to the direction of motion. This force is called centripetal force, always. Note that its different from what we call central forces.

In consequence, both tangential and radial forces can be central. More…

The angular parameters of celestial mechanics ! Reply

Define an Hour Circle.

Its a bit tricky to define some astronomical parameters and not run into innocent looking misrepresentations of facts. One needs to cool his amber more times than there are parameters, then one gets a feel where and how to begin and give a good description.

Hour Circle is a GREAT Circle, on a celestial sphere ** that, at the same time, passes through one of the celestial poles. Hence it passes through both of the celestial poles*.

A great circle is a circle that passes on a sphere, so that its radius (or diameter) equals to the radius (or diameter ) of that sphere.

If the great circle goes through one of the poles (– so both poles as an imminent condition of this definition) its also called a meridian and this circles’s angular reference wrt one of all possible meridians is called a longitude angle, or simply longitude. More…

Star Motion, an interesting star concept. Reply

To budding astronomers.

A difference between true velocity and proper velocity. Proper velocity (proper motion) is the motion of a star apparent to the center-of-mass of the solar system. That is, how fast any object (a star) is moving wrt the sun’s position. (in terms of its center-of-mass)

So if a star is close to sun, its true velocity might be as much as it is, but proper velocity can be larger. Proper velocities are often larger when stars are closer, an useful fact in Astronomy.

(How proper velocity is eg useful in Astronomy, should be a good essay type question in Indian University exams, in the course of astronomy, but rather its more useful to remove essay type questions from Exams of University and such essay should be written by students as blogs, and the best blogs can be rewarded, Change should be brought to our education system by innovative thinking and not just by lecturing on outdated spiritual discourses) More…

Stars and Fate. Reply

Astrology is the blind belief that stars change our fate — pun; like the blind belief wives change our personality. This is where Physics becomes a paraphernalia of whim, cultivated over the ages, to bring solace in seeking ignorance as a means of existential glory.

I just checked some scientific terms, in regards to how they have been made to work like paraphernalia to produce different astrological system. I was not shocked that Indians have kept advanced strides in one branch of knowledge — or the lack-thereof; Astrology.

Guess what? Hindu Astrology is a Sidereal Astrology, hence much advance than Western Astrology, which is a tropical astrology. This we have often taken boastfully, to mean that Indian science is advanced and far-reaching, even from the times of Vedas, but the simple facts — of my conviction, are; we have been manipulative from a very early time in our civilization’s evolution.

We just took science to produce religion. We also took religion to produce myth, and myth to produce social customs and took social customs to downplay science. Why else is “western” science advanced and we are merely a laggard participant in its various glorification.

— Of-course I don’t have words of solace to those who disagree, if like kids we assign ourselves the fancy of winning every sports, that we do not even take part in, because our parents will succumb to that whimsical demand of ours, it wouldn’t work towards science, here we have to work nonetheless, take part in each and every detail and each and every aspect, its not sufficient or even necessary to just downplay the impact of criticism. More…