{"id":"vidhyamitra:city-day:kolhapur:2051-07-29:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2051-07-29","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2051-07-29","date_display":"July 29, 2051 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":2051,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470381.770833,"kali_year":5153,"ahargana":1881916.2708,"sun":{"sidereal_longitude":100.7189,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":350.0538,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.3349,"elapsed_within_tithi_degrees":9.3349},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.0538,"elapsed_within_degrees":3.3871},"yoga":{"number":7,"name":"Sukarma","sum_longitude":90.7727},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2051,"month":7,"day":29,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2470381.770833,"ahargana":1881916.2708,"kali_year":5153,"ayanamsa_lahiri":24.5734,"grahas":{"sun":{"sidereal_longitude":101.35610700000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":false},"moon":{"sidereal_longitude":352.075007,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":2},"retrograde":false,"latitude":1.3119},"mars":{"sidereal_longitude":114.86750699999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":115.451907,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":132.14230699999996,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":98.655507,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":292.851407,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":187.0196,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":7.0196,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","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":2051,"month":7,"day":29,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2470381.770833,"kali_year":5153,"ahargana":1881916.2708,"sun":{"sidereal_longitude":100.7189,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":350.0538,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":21,"name":"Ṣaṣṭhī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ṣaṣṭhī","elongation_degrees":249.3349,"elapsed_within_tithi_degrees":9.3349},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":350.0538,"elapsed_within_degrees":3.3871},"yoga":{"number":7,"name":"Sukarma","sum_longitude":90.7727},"karana":{"half_tithi_index":41,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.312,"elongation":110.665},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.312,"opposition_distance":69.335}},"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":"06:12","sunsetLocal":"19:06","solarNoonLocal":"12:39","dayLengthHours":12.904525422255993,"dayLengthDisplay":"12 Hours 54 Mins 16 Secs","nightLengthDisplay":"11 Hours 05 Mins 44 Secs","moonriseLocal":"23:12","moonsetLocal":"11:32","rahuKala":{"name":"Rāhu Kāla","start":"09:26","end":"11:02","startHours":9.426776251195108,"endHours":11.039841928977106,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:16","end":"15:53","startHours":14.265973284541104,"endHours":15.879038962323104,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:12","end":"07:49","startHours":6.200644895631108,"endHours":7.813710573413108,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:13","end":"09:39","startHours":9.21170082749084,"endHours":9.641851674899373,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:44","end":"07:05","startHours":6.738333454891775,"endHours":7.082454132818602,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:13","end":"13:05","startHours":12.22275675935057,"endHours":13.083058454167638,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:29","end":"05:20","startHours":4.480041505996976,"endHours":5.340343200814043,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:08","end":"06:12","startHours":5.125267777109776,"endHours":6.200644895631108,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:48","end":"15:40","startHours":14.80366184380177,"endHours":15.663963538618836,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:54","end":"19:18","startHours":18.9051703178871,"endHours":19.3051703178871,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:06","end":"19:39","startHours":19.1051703178871,"endHours":19.642858877147766,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:51","end":"20:36","startHours":18.8551703178871,"endHours":20.6051703178871,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:13","end":"01:05","startHours":24.22275675935057,"endHours":25.083058454167638,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:12","end":"07:49","startHours":6.200644895631108,"endHours":7.813710573413108,"quality":"inauspicious"},{"name":"Śubha","start":"07:49","end":"09:26","startHours":7.813710573413108,"endHours":9.426776251195108,"quality":"auspicious"},{"name":"Roga","start":"09:26","end":"11:02","startHours":9.426776251195108,"endHours":11.039841928977106,"quality":"inauspicious"},{"name":"Udveg","start":"11:02","end":"12:39","startHours":11.039841928977106,"endHours":12.652907606759104,"quality":"inauspicious"},{"name":"Chala","start":"12:39","end":"14:16","startHours":12.652907606759104,"endHours":14.265973284541104,"quality":"neutral"},{"name":"Labha","start":"14:16","end":"15:53","startHours":14.265973284541104,"endHours":15.879038962323104,"quality":"auspicious"},{"name":"Amṛta","start":"15:53","end":"17:30","startHours":15.879038962323104,"endHours":17.4921046401051,"quality":"auspicious"},{"name":"Kāla","start":"17:30","end":"19:06","startHours":17.4921046401051,"endHours":19.1051703178871,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:06","end":"20:30","startHours":19.1051703178871,"endHours":20.4921046401051,"quality":"auspicious"},{"name":"Amṛta","start":"20:30","end":"21:53","startHours":20.4921046401051,"endHours":21.8790389623231,"quality":"auspicious"},{"name":"Kāla","start":"21:53","end":"23:16","startHours":21.8790389623231,"endHours":23.265973284541104,"quality":"inauspicious"},{"name":"Śubha","start":"23:16","end":"00:39","startHours":23.265973284541104,"endHours":24.652907606759104,"quality":"auspicious"},{"name":"Roga","start":"00:39","end":"02:02","startHours":24.652907606759104,"endHours":26.039841928977104,"quality":"inauspicious"},{"name":"Udveg","start":"02:02","end":"03:26","startHours":26.039841928977104,"endHours":27.426776251195108,"quality":"inauspicious"},{"name":"Chala","start":"03:26","end":"04:49","startHours":27.426776251195108,"endHours":28.813710573413108,"quality":"neutral"},{"name":"Labha","start":"04:49","end":"06:12","startHours":28.813710573413108,"endHours":30.200644895631108,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:12","end":"07:12","startHours":6.200644895631108,"endHours":7.200644895631108,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:12","end":"08:12","startHours":7.200644895631108,"endHours":8.200644895631108,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:12","end":"09:12","startHours":8.200644895631108,"endHours":9.200644895631108,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:12","end":"10:12","startHours":9.200644895631108,"endHours":10.200644895631108,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:12","end":"11:12","startHours":10.200644895631108,"endHours":11.200644895631108,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:12","end":"12:12","startHours":11.200644895631108,"endHours":12.200644895631108,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:12","end":"13:12","startHours":12.200644895631108,"endHours":13.200644895631108,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:12","end":"14:12","startHours":13.200644895631108,"endHours":14.200644895631108,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:12","end":"15:12","startHours":14.200644895631108,"endHours":15.200644895631108,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:12","end":"16:12","startHours":15.200644895631108,"endHours":16.200644895631108,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:12","end":"17:12","startHours":16.200644895631108,"endHours":17.200644895631108,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:12","end":"18:12","startHours":17.200644895631108,"endHours":18.200644895631108,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:12","end":"19:12","startHours":18.200644895631108,"endHours":19.200644895631108,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:12","end":"20:12","startHours":19.200644895631108,"endHours":20.200644895631108,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:12","end":"21:12","startHours":20.200644895631108,"endHours":21.200644895631108,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:12","end":"22:12","startHours":21.200644895631108,"endHours":22.200644895631108,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:12","end":"23:12","startHours":22.200644895631108,"endHours":23.200644895631108,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:12","end":"00:12","startHours":23.200644895631108,"endHours":24.200644895631108,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:12","end":"01:12","startHours":24.200644895631108,"endHours":25.200644895631108,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:12","end":"02:12","startHours":25.200644895631108,"endHours":26.200644895631108,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:12","end":"03:12","startHours":26.200644895631108,"endHours":27.200644895631108,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:12","end":"04:12","startHours":27.200644895631108,"endHours":28.200644895631108,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:12","end":"05:12","startHours":28.200644895631108,"endHours":29.200644895631108,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:12","end":"06:12","startHours":29.200644895631108,"endHours":30.200644895631108,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-West","rahuVasa":"East","anandadiYoga":{"name":"Gada","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.78753299748083,"eotMinutes":-6.147656405546237,"ayanamsa":24.5734}},"calendars":{"vikram_samvat":2108,"vikram_samvatsara":"Tāraṇa","saka_samvat":1973,"saka_samvatsara":"Prajāpati","bengali_samvat":1458,"malayalam_era":1227,"nanakshahi_year":582,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Ṣaṣṭhī · Vikram 2108 Tāraṇa · Śaka 1973 Prajāpati"},"festivals":[],"todays_walk":{"walk":{"id":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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, 2051 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"July 29, 2051 CE for Kolhāpur, Maharashtra: Kṛṣṇa Ṣaṣṭhī, sūryodaya 06:12, sūryāsta 19:06.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2051-07-29","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2051-07-29","sa":"https://sa.vidhyamitra.com/city/kolhapur/2051-07-29","hi":"https://hi.vidhyamitra.com/city/kolhapur/2051-07-29","x-default":"https://vidhyamitra.com/city/kolhapur/2051-07-29"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:48:56.308Z","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":"2026-05-31T19:48:56.308Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:48:56.308Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}