{"id":"vidhyamitra:day:2077-08-15:en","page_class":"VM-1-day","url":"https://vidhyamitra.com/day/2077-08-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2077-08-15","date_display":"August 15, 2077 CE","panchanga":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2077,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479895.770833,"kali_year":5179,"ahargana":1891430.2708,"sun":{"sidereal_longitude":117.1672,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":75.7013,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":318.5341,"elapsed_within_tithi_degrees":6.5341},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.7013,"elapsed_within_degrees":9.0346},"yoga":{"number":15,"name":"Vajra","sum_longitude":192.8685},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"sky":{"method":"Sūrya-Siddhāntic Bhāskara-II 4-step iteration with atan2-based śīghra + varying peripheries + lunar latitude","engine_version":"3.0 (Pūrṇa — complete SS implementation)","tradition_sources":"Āryabhaṭīya 499 CE → SS Ch.1-5 Burgess 1860 → Siddhānta-Śiromaṇi Bhāskara II 1150 → Tantrasaṅgraha Nīlakaṇṭha 1501","input":{"year":2077,"month":8,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479895.770833,"ahargana":1891430.2708,"kali_year":5179,"ayanamsa_lahiri":24.9373,"grahas":{"sun":{"sidereal_longitude":117.96540199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"moon":{"sidereal_longitude":77.19460199999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false,"latitude":2.4345},"mars":{"sidereal_longitude":91.85060199999998,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":112.338302,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":191.68150200000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":156.36720200000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":249.37370199999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":42.9221,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":222.9221,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":false}},"panchang":{"method":"Sūrya Siddhānta + Bhāskara-II iterative manda + Kerala-school (Mādhava-Nīlakaṇṭha) evection + variation + annual equation","engine_version":"2.0 (Kerala-school enhanced)","accuracy_note":"Sub-degree on Moon at any Kali-Yuga date (~2-5° residual max)","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2077,"month":8,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479895.770833,"kali_year":5179,"ahargana":1891430.2708,"sun":{"sidereal_longitude":117.1672,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":75.7013,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":27,"name":"Dvādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Dvādaśī","elongation_degrees":318.5341,"elapsed_within_tithi_degrees":6.5341},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.7013,"elapsed_within_degrees":9.0346},"yoga":{"number":15,"name":"Vajra","sum_longitude":192.8685},"karana":{"half_tithi_index":53,"name":"Taitila"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.435,"elongation":41.466},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.435,"opposition_distance":138.534}},"eclipse_window_40days":[]},"calendars":{"vikram_samvat":2134,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1999,"saka_samvatsara":"Hemalambī","bengali_samvat":1484,"malayalam_era":1253,"nanakshahi_year":608,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Dvādaśī · Vikram 2134 Sādhāraṇa · Śaka 1999 Hemalambī"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2}],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"valid_from":"2077-08-15T00:00:00Z"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate; Vidhyamitra substrate"},"seo":{"title":"Pañchāṅga August 15, 2077 CE · Vidhyamitra","description":"Vedic pañchāṅga for August 15, 2077 CE: Kṛṣṇa Dvādaśī · Ārdrā.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/day/2077-08-15","hreflang_alternates":{"en":"https://vidhyamitra.com/day/2077-08-15","sa":"https://sa.vidhyamitra.com/day/2077-08-15","hi":"https://hi.vidhyamitra.com/day/2077-08-15","x-default":"https://vidhyamitra.com/day/2077-08-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-14T18:37:22.936Z","verification":{"type":"multi-marker","confidence":"canonical"}}],"meta":{"generated_at":"2026-05-14T18:37:22.936Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa"}}}