{"id":"vidhyamitra:city-day:kolhapur:1981-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/1981-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1981-07-29","date_display":"July 29, 1981 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":1981,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444814.770833,"kali_year":5083,"ahargana":1856349.2708,"sun":{"sidereal_longitude":101.776,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":75.6336,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.8576,"elapsed_within_tithi_degrees":9.8576},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.6336,"elapsed_within_degrees":8.9669},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.4096},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":1981,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2444814.770833,"ahargana":1856349.2708,"kali_year":5083,"ayanamsa_lahiri":23.5956,"grahas":{"sun":{"sidereal_longitude":102.250855,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":74.35295500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-1.9745},"mars":{"sidereal_longitude":73.81735500000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":89.28285499999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":162.33625499999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"venus":{"sidereal_longitude":132.055255,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":161.432055,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":101.6823,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":281.6823,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":1981,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2444814.770833,"kali_year":5083,"ahargana":1856349.2708,"sun":{"sidereal_longitude":101.776,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":75.6336,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":333.8576,"elapsed_within_tithi_degrees":9.8576},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.6336,"elapsed_within_degrees":8.9669},"yoga":{"number":14,"name":"Harṣaṇa","sum_longitude":177.4096},"karana":{"half_tithi_index":55,"name":"Vaṇija"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.974,"elongation":26.142},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.974,"opposition_distance":153.858}},"eclipse_window_40days":[{"offset_days":-12,"type":"lunar","occurs":true,"moon_latitude":1.092,"opposition_distance":2.128},{"offset_days":2,"type":"solar","occurs":true,"moon_latitude":0.181,"elongation":0.207}]},"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":"06:12","sunsetLocal":"19:06","solarNoonLocal":"12:39","dayLengthHours":12.905460177403604,"dayLengthDisplay":"12 Hours 54 Mins 20 Secs","nightLengthDisplay":"11 Hours 05 Mins 40 Secs","moonriseLocal":"04:15","moonsetLocal":"17:20","rahuKala":{"name":"Rāhu Kāla","start":"12:39","end":"14:16","startHours":12.652907606759104,"endHours":14.266090128934554,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:49","end":"09:26","startHours":7.813360040232752,"endHours":9.426542562408201,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:02","end":"12:39","startHours":11.039725084583653,"endHours":12.652907606759104,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:38","startHours":9.211451559451476,"endHours":9.641633565364929,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:05","startHours":6.737905025449118,"endHours":7.0820506301798805,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"13:05","startHours":12.222725600845651,"endHours":13.083089612672557,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:29","end":"05:20","startHours":4.479449494403488,"endHours":5.339813506230394,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:07","end":"06:12","startHours":5.124722503273667,"endHours":6.200177518057301,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:48","end":"15:40","startHours":14.803817636326372,"endHours":15.664181648153278,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.905637695460907,"endHours":19.305637695460906,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:39","startHours":19.105637695460906,"endHours":19.643365202852724,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.855637695460906,"endHours":20.605637695460906,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"01:05","startHours":24.22272560084565,"endHours":25.08308961267256,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:12","end":"07:49","startHours":6.200177518057301,"endHours":7.813360040232752,"quality":"auspicious"},{"name":"Amṛta","start":"07:49","end":"09:26","startHours":7.813360040232752,"endHours":9.426542562408201,"quality":"auspicious"},{"name":"Kāla","start":"09:26","end":"11:02","startHours":9.426542562408201,"endHours":11.039725084583653,"quality":"inauspicious"},{"name":"Śubha","start":"11:02","end":"12:39","startHours":11.039725084583653,"endHours":12.652907606759104,"quality":"auspicious"},{"name":"Roga","start":"12:39","end":"14:16","startHours":12.652907606759104,"endHours":14.266090128934554,"quality":"inauspicious"},{"name":"Udveg","start":"14:16","end":"15:53","startHours":14.266090128934554,"endHours":15.879272651110004,"quality":"inauspicious"},{"name":"Chala","start":"15:53","end":"17:30","startHours":15.879272651110004,"endHours":17.492455173285457,"quality":"neutral"},{"name":"Labha","start":"17:30","end":"19:06","startHours":17.492455173285457,"endHours":19.105637695460906,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:06","end":"20:30","startHours":19.105637695460906,"endHours":20.492455173285457,"quality":"inauspicious"},{"name":"Chala","start":"20:30","end":"21:53","startHours":20.492455173285457,"endHours":21.879272651110007,"quality":"neutral"},{"name":"Labha","start":"21:53","end":"23:16","startHours":21.879272651110007,"endHours":23.266090128934554,"quality":"auspicious"},{"name":"Amṛta","start":"23:16","end":"00:39","startHours":23.266090128934554,"endHours":24.652907606759104,"quality":"auspicious"},{"name":"Kāla","start":"00:39","end":"02:02","startHours":24.652907606759104,"endHours":26.039725084583655,"quality":"inauspicious"},{"name":"Śubha","start":"02:02","end":"03:26","startHours":26.039725084583655,"endHours":27.4265425624082,"quality":"auspicious"},{"name":"Roga","start":"03:26","end":"04:49","startHours":27.4265425624082,"endHours":28.81336004023275,"quality":"inauspicious"},{"name":"Udveg","start":"04:49","end":"06:12","startHours":28.81336004023275,"endHours":30.200177518057302,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.200177518057301,"endHours":7.200177518057301,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.200177518057301,"endHours":8.200177518057302,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.200177518057302,"endHours":9.200177518057302,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.200177518057302,"endHours":10.200177518057302,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.200177518057302,"endHours":11.200177518057302,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.200177518057302,"endHours":12.200177518057302,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.200177518057302,"endHours":13.200177518057302,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.200177518057302,"endHours":14.200177518057302,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.200177518057302,"endHours":15.200177518057302,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.200177518057302,"endHours":16.200177518057302,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.200177518057302,"endHours":17.200177518057302,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.200177518057302,"endHours":18.200177518057302,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.200177518057302,"endHours":19.200177518057302,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.200177518057302,"endHours":20.200177518057302,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.200177518057302,"endHours":21.200177518057302,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.200177518057302,"endHours":22.200177518057302,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.200177518057302,"endHours":23.200177518057302,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.200177518057302,"endHours":24.200177518057302,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.200177518057302,"endHours":25.200177518057302,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.200177518057302,"endHours":26.200177518057302,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.200177518057302,"endHours":27.200177518057302,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.200177518057302,"endHours":28.200177518057302,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.200177518057302,"endHours":29.200177518057302,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.200177518057302,"endHours":30.200177518057302,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Varṣā (Monsoon) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":18.80798773100124,"eotMinutes":-6.147656405546237,"ayanamsa":23.5956}},"calendars":{"vikram_samvat":2038,"vikram_samvatsara":"Bhāva","saka_samvat":1903,"saka_samvatsara":"Durmati","bengali_samvat":1388,"malayalam_era":1157,"nanakshahi_year":512,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram 2038 Bhāva · Śaka 1903 Durmati"},"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},{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — its presiding graha's walk."},"cosmic_resonances":[]},"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 July 29, 1981 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"July 29, 1981 CE for Kolhāpur, Maharashtra: Kṛṣṇa Trayodaśī, sūryodaya 06:12, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/1981-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/1981-07-29","sa":"https://sa.vidhyamitra.com/city/kolhapur/1981-07-29","hi":"https://hi.vidhyamitra.com/city/kolhapur/1981-07-29","x-default":"https://vidhyamitra.com/city/kolhapur/1981-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-18T09:48:56.366Z","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":"2026-05-18T09:48:56.366Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-18T09:48:56.366Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}