{"id":"vidhyamitra:city-day:kolhapur:2087-08-21:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2087-08-21","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2087-08-21","date_display":"August 21, 2087 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":2087,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483553.770833,"kali_year":5189,"ahargana":1895088.2708,"sun":{"sidereal_longitude":122.3445,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":30.1881,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.8436,"elapsed_within_tithi_degrees":3.8436},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.1881,"elapsed_within_degrees":3.5214},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.5326},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2087,"month":8,"day":21,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2483553.770833,"ahargana":1895088.2708,"kali_year":5189,"ayanamsa_lahiri":25.0772,"grahas":{"sun":{"sidereal_longitude":123.19304,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":31.709339999999997,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2},"retrograde":false,"latitude":-0.0851},"mars":{"sidereal_longitude":155.69204000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":141.94054,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":146.57954,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":4},"retrograde":false},"venus":{"sidereal_longitude":88.80223999999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":17.940639999999973,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":209.1036,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":29.1036,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"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":2087,"month":8,"day":21,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2483553.770833,"kali_year":5189,"ahargana":1895088.2708,"sun":{"sidereal_longitude":122.3445,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":30.1881,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":267.8436,"elapsed_within_tithi_degrees":3.8436},"nakshatra":{"number":3,"name":"Kṛttikā","pada":2,"moon_longitude":30.1881,"elapsed_within_degrees":3.5214},"yoga":{"number":12,"name":"Dhruva","sum_longitude":152.5326},"karana":{"half_tithi_index":44,"name":"Bālava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.085,"elongation":92.156},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.085,"opposition_distance":87.844}},"eclipse_window_40days":[]},"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"tier2":{"city":{"slug":"kolhapur","name":"Kolhāpur, Maharashtra","lat":16.705,"lon":74.2433,"tz_offset_hours":5.5,"state":"Maharashtra","country":"IN","tier":"tier-1"},"sunriseLocal":"06:18","sunsetLocal":"18:54","solarNoonLocal":"12:36","dayLengthHours":12.609638862086037,"dayLengthDisplay":"12 Hours 36 Mins 35 Secs","nightLengthDisplay":"11 Hours 23 Mins 25 Secs","moonriseLocal":"00:03","moonsetLocal":"12:57","rahuKala":{"name":"Rāhu Kāla","start":"14:10","end":"15:45","startHours":14.173283079694002,"endHours":15.749487937454756,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:18","end":"07:52","startHours":6.292258790890229,"endHours":7.868463648650984,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:27","end":"11:01","startHours":9.444668506411737,"endHours":11.020873364172493,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:14","end":"09:39","startHours":9.234507858710305,"endHours":9.654829154113173,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:49","end":"07:09","startHours":6.817660410143814,"endHours":7.153917446466108,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:11","end":"13:01","startHours":12.17675692653038,"endHours":13.017399517336116,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:37","end":"05:27","startHours":4.610973609278758,"endHours":5.451616200084493,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:18","startHours":5.2414555523830595,"endHours":6.292258790890229,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:32","startHours":14.698684698947588,"endHours":15.539327289753324,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:42","end":"19:06","startHours":18.701897652976267,"endHours":19.101897652976266,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:54","end":"19:26","startHours":18.901897652976267,"endHours":19.427299272229853,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:39","end":"20:24","startHours":18.651897652976267,"endHours":20.401897652976267,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:11","end":"01:01","startHours":24.17675692653038,"endHours":25.017399517336116,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:18","end":"07:52","startHours":6.292258790890229,"endHours":7.868463648650984,"quality":"auspicious"},{"name":"Roga","start":"07:52","end":"09:27","startHours":7.868463648650984,"endHours":9.444668506411737,"quality":"inauspicious"},{"name":"Udveg","start":"09:27","end":"11:01","startHours":9.444668506411737,"endHours":11.020873364172493,"quality":"inauspicious"},{"name":"Chala","start":"11:01","end":"12:36","startHours":11.020873364172493,"endHours":12.597078221933248,"quality":"neutral"},{"name":"Labha","start":"12:36","end":"14:10","startHours":12.597078221933248,"endHours":14.173283079694002,"quality":"auspicious"},{"name":"Amṛta","start":"14:10","end":"15:45","startHours":14.173283079694002,"endHours":15.749487937454756,"quality":"auspicious"},{"name":"Kāla","start":"15:45","end":"17:20","startHours":15.749487937454756,"endHours":17.325692795215513,"quality":"inauspicious"},{"name":"Śubha","start":"17:20","end":"18:54","startHours":17.325692795215513,"endHours":18.901897652976267,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"18:54","end":"20:20","startHours":18.901897652976267,"endHours":20.325692795215513,"quality":"auspicious"},{"name":"Kāla","start":"20:20","end":"21:45","startHours":20.325692795215513,"endHours":21.74948793745476,"quality":"inauspicious"},{"name":"Śubha","start":"21:45","end":"23:10","startHours":21.74948793745476,"endHours":23.173283079694002,"quality":"auspicious"},{"name":"Roga","start":"23:10","end":"00:36","startHours":23.173283079694002,"endHours":24.59707822193325,"quality":"inauspicious"},{"name":"Udveg","start":"00:36","end":"02:01","startHours":24.59707822193325,"endHours":26.020873364172495,"quality":"inauspicious"},{"name":"Chala","start":"02:01","end":"03:27","startHours":26.020873364172495,"endHours":27.444668506411737,"quality":"neutral"},{"name":"Labha","start":"03:27","end":"04:52","startHours":27.444668506411737,"endHours":28.868463648650984,"quality":"auspicious"},{"name":"Amṛta","start":"04:52","end":"06:18","startHours":28.868463648650984,"endHours":30.29225879089023,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:18","end":"07:18","startHours":6.292258790890229,"endHours":7.292258790890229,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:18","end":"08:18","startHours":7.292258790890229,"endHours":8.29225879089023,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:18","end":"09:18","startHours":8.29225879089023,"endHours":9.29225879089023,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:18","end":"10:18","startHours":9.29225879089023,"endHours":10.29225879089023,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:18","end":"11:18","startHours":10.29225879089023,"endHours":11.29225879089023,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:18","end":"12:18","startHours":11.29225879089023,"endHours":12.29225879089023,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:18","end":"13:18","startHours":12.29225879089023,"endHours":13.29225879089023,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:18","end":"14:18","startHours":13.29225879089023,"endHours":14.29225879089023,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:18","end":"15:18","startHours":14.29225879089023,"endHours":15.29225879089023,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:18","end":"16:18","startHours":15.29225879089023,"endHours":16.29225879089023,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:18","end":"17:18","startHours":16.29225879089023,"endHours":17.29225879089023,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:18","end":"18:18","startHours":17.29225879089023,"endHours":18.29225879089023,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:18","end":"19:18","startHours":18.29225879089023,"endHours":19.29225879089023,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:18","end":"20:18","startHours":19.29225879089023,"endHours":20.29225879089023,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:18","end":"21:18","startHours":20.29225879089023,"endHours":21.29225879089023,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:18","end":"22:18","startHours":21.29225879089023,"endHours":22.29225879089023,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:18","end":"23:18","startHours":22.29225879089023,"endHours":23.29225879089023,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:18","end":"00:18","startHours":23.29225879089023,"endHours":24.29225879089023,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:18","end":"01:18","startHours":24.29225879089023,"endHours":25.29225879089023,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:18","end":"02:18","startHours":25.29225879089023,"endHours":26.29225879089023,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:18","end":"03:18","startHours":26.29225879089023,"endHours":27.29225879089023,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:18","end":"04:18","startHours":27.29225879089023,"endHours":28.29225879089023,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:18","end":"05:18","startHours":28.29225879089023,"endHours":29.29225879089023,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:18","end":"06:18","startHours":29.29225879089023,"endHours":30.29225879089023,"planetary_lord":"Moon"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South-East","rahuVasa":"North-West","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Varṣā (Monsoon)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":12.07388476841961,"eotMinutes":-2.7978933159948465,"ayanamsa":25.0772}},"calendars":{"vikram_samvat":2144,"vikram_samvatsara":"Raudra","saka_samvat":2009,"saka_samvatsara":"Plavaṅga","bengali_samvat":1494,"malayalam_era":1263,"nanakshahi_year":618,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Śrāvaṇa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Kṛṣṇa Aṣṭamī · Vikram 2144 Raudra · Śaka 2009 Plavaṅga"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3226-07-09","event":"Bhagavān Krishna's birth at Mathurā","chart_id":"krishna","shared_marker":"same Kṛṣṇa Aṣṭamī","url":"/day/-3226-07-09","relevance":0.5},{"historical_date":"-3137-10-04","event":"Mahābhārata Day 1 (Bhagavad Gītā delivered)","chart_id":"krishna","shared_marker":"same Kṛttikā","url":"/day/-3137-10-04","relevance":0.5},{"historical_date":"-3137-12-25","event":"Bhīṣma's Mahaprasthan","chart_id":"bhishma","shared_marker":"same Kṛttikā","url":"/day/-3137-12-25","relevance":0.5}]},"validity":{"eternal":false,"location_specific":"kolhapur"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga August 21, 2087 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"August 21, 2087 CE for Kolhāpur, Maharashtra: Kṛṣṇa Aṣṭamī, sūryodaya 06:18, sūryāsta 18:54.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2087-08-21","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2087-08-21","sa":"https://sa.vidhyamitra.com/city/kolhapur/2087-08-21","hi":"https://hi.vidhyamitra.com/city/kolhapur/2087-08-21","x-default":"https://vidhyamitra.com/city/kolhapur/2087-08-21"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T21:43:26.958Z","verification":{"type":"multi-marker","confidence":"canonical"}},{"pillar":"Vidhyamitra-Tier2","pillar_version":"0.1.0","method":"Spherical astronomy + Lahiri ayanamsa + standard solar declination + EoT correction","retrieved_at":"2026-05-31T21:43:26.958Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T21:43:26.958Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}