#ccbysa

mkwadee@diasp.eu

Earlier today, I used a #MacroLens to #photograph a subject close up. Now I switched to a #telephoto lens with a #FocalLength of 400 mm to capture objects effectively at #infinity.

You may have seen some of my #sunset #photographs before and, yes, it's the same #horizon and the same old #Sun but this one caught my eye because of its sharpness. There wasn't a cloud in the vicinity of the Sun when it was setting. You can see the bright, smoothly varying #yellow, #gold and #orange of the #sky contrasting the dark, sharp #silhouettes of the #trees in the #foreground. Also there's that mobile phone mast too.
Sunset behind trees on the horizon

#Cropping the image around our local #star, you see the #trees in what I'm calling #ExtremeSilhouette as the blinding light of the Sun seem to flow around solid wood and renders it invisible with only the ends of branches seemingly suspended in mid air disconnected to the trunk and giving the Sun the appearance of having spiky hair.
Cropped image of the sunset

#MyWork #MyPhoto #CCBYSA #DSLR #Nikon #D7000 #Spring

mkwadee@diasp.eu

A few weeks ago, I posted an example of a #projectile #trajectory in a uniform #GravitationalField without #AirResistance. It's a school-level exercise but it was nice to produce an #animation for it. To model air resistance is a bit more tricky as any #fluid, including #air, is complex and does not necessarily behave as you might expect. A simple model for it might be to assume it is a #linear #viscous fluid offering resistance proportional to the velocity of the projectile, i.e. R = -k.v, where v is the velocity vector and k is a constant which dictates how viscous the fluid is.

Happily, this model has exact solutions so I didn't need to do any numerical integration to find the form of the displacement. Here are four different cases, including the "ideal" case k = 0. The others are k = 0.1, 1 and 10, with the middle one highlighted. The essential difference between the non-resistance case and the others is that horizontal velocity steadily decreases with time and decays towards zero exponentially. The vertical velocity is also reduced but still grows. The most viscous case (k = 10) shows terminal velocity behaviour very quickly and the projectile appears to be moving through treacle.

#MyWork #CCBYSA #AppliedMathematics #Maths #WxMaxima

mkwadee@diasp.eu

The #spider I photographed a few days ago in the conservatory is still around but today is resting on the other side of its #web so I've got a good view of its underside. Just be aware that it is tiny, it's body is about 3 to 4 mm in length but the #Macrolens does its job in making it look huge! I've imported and then exported it through #Gimp which enhances the colours somewhat but there's no other image manipulation.

Marking it as #NSFW in case you are a bit arachnophobic, like me.

#MyWork #MyPhoto #CCBYSA #DSLR #Nikon #D7000 #Spring #Macrophotography

mkwadee@diasp.eu

Today's #flower in the #garden is a star of Behtlehem. At least it looks like one of the many #species of #plants that go by that common name and I'm not a botanist and won't try to be more specific. It has six #petals which struck me as odd (no, not odd, you know what I mean). The number of petals is often a number from the #FibonacciSequence and so what might happen here during development is that each of the three petals split into two. I'm just speculating and I'm sure there are many more knowledgeable people who could give the right answer.
Close up of star of Bethlehem flower

This second image is a cropped version of the one above. You can see the #stamens covered in yellow #pollen well. Instead of putting the centre of the flower in the centre of the image, I've used the #RuleOfThirds to try to make it a bit more interesting, which has the added benefit of being able to fit an entire petal into the frame.
Cropped image of start of Bethlehem flower

#MyWork #MyPhoto #CCBYSA #DSLR #Nikon #D7000 #Spring #Horticulture #MacroPhotography

mkwadee@diasp.eu

Today's #cycle trip was to #Exmouth which is about 18 km away by #bike and either on #cyclepaths or very low density residential #MotorTraffic. It has been a bright sunny day but still a bit cool. This is a #photograph of the #ExeEstuary which opens out into the #EnglishChannel or #LaManche. It was #LowTide and so you can clearly see #SandBanks in the middle of the #estuary which form a #habitat for #birds but also a #NavigationalHazard for boats. You can see the opposite #bank too which is in #Starcross.

#MyWork #MyPhoto #CCBYSA #DSLR #Nikon #D7000 #Spring #Beach #Cycling

mkwadee@diasp.eu

I was explaining to my wife how the #velocity #components of an idealized #projectile differ. She was having some problems understanding that only the #vertical component changes and that the #horizontal component remains constant. In the end, I knocked up this little animation to tr and explain pictorially (the program in #WxMaxima is actually interactive. so you can stop it, step through it or run it backwards if that helps).

#Maths #Mathematics #Mechanics #ConstantAcceleration #Vectors #Dynamics #MyWork #CCBYSA #FreeSoftware

mkwadee@diasp.eu

It's a clear #night and #Jupiter and #Venus are bright in the #western #sky and getting closer together in their apparent positions. This is a #photograph of the pair with a 1.6 s exposure. It is also difficult to get a sharp #focus manually as autofocus doesn't really work with objects at infinity and yet effectively points of light. This taken with a 400 mm #telephoto #lens.
Venus and Jupiter in conjunction

Also with long exposures and a heavy lens, even a the tiniest #vibration on the tripod can blur the image, even with the sharpest focus. Here's the same image but cropping around Jupiter. You can see its four biggest satellites, (left to right: #Europa, #Io, #Ganymede and #Callisto, information courtesy of #Stellarium)
Jupiter and its moons

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