Lakshya is the indigenously developed Pilotless Target Aircraft.
The supersonic cruise missile was fired from a mobile launcher at 12:10pm amidst heavy rains caused by a deep depression in the Bay of Bengal, which crossed the Orissa coast around the same time.
With a range of 25km, Akash is one of the five missiles currently under development by the Defence Research and Development Organisation.
The supersonic anti-ship cruise missile was jointly developed by India and Russia.
Akash was aimed at a target attached to Lakshya, the pilotless target aircraft.
Astra is an indigenously developed air-to-air missile.
DRDO scientists, who conducted the test, described it as a user's trial.
It hit a target dropped from an AN-32 aircraft.
After achieving the precision guidance capability from a fixed launcher in its fourth trial on October 29 last, the missile was on Sunday test-fired from a mobile launcher.
The sleek 3.8 metre high missile has a striking range of 25 to 40 km.
The DRDO has so far conducted 16 trials of the army version of the missile since its first trial on February 22, 1988.
This variant of the missile takes just 300 seconds to reach a target located at a distance of 150km.
In a bid to galvanise its air defence capabilities, India on Tuesday successfully test fired a new, long range surface-to-air missile jointly developed with Israel from a defence base off Odisha coast.
India on Saturday successfully conducted two rounds of trials of its indigenously developed surface-to-air Akash missile as part of a user trial by the Indian Air Force from the Integrated Test Range at Chandipur near Balasore in Odisha.
This was the fifth experimental test of the homegrown missile system.
Designed to be a quick reaction missile, it has a strike range of 25 km to 30 km.
This the second time that the missile has been test-fired in less than a month and is part of an effort to put in place a multi-layer missile defence system.
India successfully test-fired its indigenously developed nuclear capable sub-sonic cruise missile 'Nirbhay', which can strike targets more than 700 kms away, from a test range at Chandipur near Balasore in Odisha on Friday.
Describing the launch of the sophisticated missile as a complete success, ITR Director M V K V Prasad said all the mission parameters were met during the trial. "The missile was randomly chosen from the production stock and the launch activities were carried out by the specially formed Strategic Force Command and monitored by scientists of Defence Research and Development Organisation as part of training exercise," sources said.
India on Monday successfully test-fired indigenously developed nuclear-capable Prithvi-II missile -- with a strike range of 350 km -- from a test range at Chandipur near Balasore in Odisha.