{"id":"vidhyamitra:city-day:kolhapur:2077-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2077-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2077-01-20","date_display":"January 20, 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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479688.770833,"kali_year":5178,"ahargana":1891223.2708,"sun":{"sidereal_longitude":275.4252,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":218.1924,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.7672,"elapsed_within_tithi_degrees":2.7672},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.1924,"elapsed_within_degrees":4.859},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.6176},"karana":{"half_tithi_index":50,"name":"Bava"},"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":2077,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2479688.770833,"ahargana":1891223.2708,"kali_year":5178,"ayanamsa_lahiri":24.9294,"grahas":{"sun":{"sidereal_longitude":275.6801109999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":216.61931100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false,"latitude":1.2164},"mars":{"sidereal_longitude":301.46561099999997,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":255.384011,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":196.36741099999995,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":262.976711,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":249.82041100000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":53.8899,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":233.8899,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","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":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2479688.770833,"kali_year":5178,"ahargana":1891223.2708,"sun":{"sidereal_longitude":275.4252,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":218.1924,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":26,"name":"Ekādaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Ekādaśī","elongation_degrees":302.7672,"elapsed_within_tithi_degrees":2.7672},"nakshatra":{"number":17,"name":"Anurādhā","pada":2,"moon_longitude":218.1924,"elapsed_within_degrees":4.859},"yoga":{"number":11,"name":"Vṛddhi","sum_longitude":133.6176},"karana":{"half_tithi_index":50,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.216,"elongation":57.233},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.216,"opposition_distance":122.767}},"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":"07:05","sunsetLocal":"18:23","solarNoonLocal":"12:44","dayLengthHours":11.28711019559586,"dayLengthDisplay":"11 Hours 17 Mins 14 Secs","nightLengthDisplay":"12 Hours 42 Mins 46 Secs","moonriseLocal":"03:11","moonsetLocal":"14:25","rahuKala":{"name":"Rāhu Kāla","start":"12:44","end":"14:09","startHours":12.733185055620488,"endHours":14.14407383006997,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"08:30","end":"09:55","startHours":8.50051873227204,"endHours":9.911407506721522,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"11:19","end":"12:44","startHours":11.322296281171006,"endHours":12.733185055620488,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:43","end":"10:06","startHours":9.723289003461591,"endHours":10.099526009981453,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:34","end":"07:52","startHours":7.559926215972385,"endHours":7.860915821188274,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:21","end":"13:07","startHours":12.356948049100627,"endHours":13.10942206214035,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:20","startHours":5.58468193174311,"endHours":6.337155944782833,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:05","startHours":6.1490374415229025,"endHours":7.089629957822558,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:37","end":"15:22","startHours":14.614370088219797,"endHours":15.36684410125952,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:11","end":"18:35","startHours":18.176740153418418,"endHours":18.576740153418417,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:23","end":"18:51","startHours":18.376740153418417,"endHours":18.847036411568244,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:08","end":"19:53","startHours":18.126740153418417,"endHours":19.876740153418417,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:21","end":"01:07","startHours":24.356948049100627,"endHours":25.10942206214035,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"07:05","end":"08:30","startHours":7.089629957822558,"endHours":8.50051873227204,"quality":"auspicious"},{"name":"Amṛta","start":"08:30","end":"09:55","startHours":8.50051873227204,"endHours":9.911407506721522,"quality":"auspicious"},{"name":"Kāla","start":"09:55","end":"11:19","startHours":9.911407506721522,"endHours":11.322296281171006,"quality":"inauspicious"},{"name":"Śubha","start":"11:19","end":"12:44","startHours":11.322296281171006,"endHours":12.733185055620488,"quality":"auspicious"},{"name":"Roga","start":"12:44","end":"14:09","startHours":12.733185055620488,"endHours":14.14407383006997,"quality":"inauspicious"},{"name":"Udveg","start":"14:09","end":"15:33","startHours":14.14407383006997,"endHours":15.554962604519453,"quality":"inauspicious"},{"name":"Chala","start":"15:33","end":"16:58","startHours":15.554962604519453,"endHours":16.965851378968935,"quality":"neutral"},{"name":"Labha","start":"16:58","end":"18:23","startHours":16.965851378968935,"endHours":18.376740153418417,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:23","end":"19:58","startHours":18.376740153418417,"endHours":19.965851378968935,"quality":"inauspicious"},{"name":"Chala","start":"19:58","end":"21:33","startHours":19.965851378968935,"endHours":21.554962604519453,"quality":"neutral"},{"name":"Labha","start":"21:33","end":"23:09","startHours":21.554962604519453,"endHours":23.14407383006997,"quality":"auspicious"},{"name":"Amṛta","start":"23:09","end":"00:44","startHours":23.14407383006997,"endHours":24.73318505562049,"quality":"auspicious"},{"name":"Kāla","start":"00:44","end":"02:19","startHours":24.73318505562049,"endHours":26.322296281171006,"quality":"inauspicious"},{"name":"Śubha","start":"02:19","end":"03:55","startHours":26.322296281171006,"endHours":27.911407506721524,"quality":"auspicious"},{"name":"Roga","start":"03:55","end":"05:30","startHours":27.911407506721524,"endHours":29.50051873227204,"quality":"inauspicious"},{"name":"Udveg","start":"05:30","end":"07:05","startHours":29.50051873227204,"endHours":31.08962995782256,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.089629957822558,"endHours":8.089629957822558,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.089629957822558,"endHours":9.089629957822558,"planetary_lord":"Venus"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.089629957822558,"endHours":10.089629957822558,"planetary_lord":"Sun"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.089629957822558,"endHours":11.089629957822558,"planetary_lord":"Mars"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.089629957822558,"endHours":12.089629957822558,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.089629957822558,"endHours":13.089629957822558,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.089629957822558,"endHours":14.089629957822558,"planetary_lord":"Moon"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.089629957822558,"endHours":15.089629957822558,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.089629957822558,"endHours":16.08962995782256,"planetary_lord":"Venus"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.08962995782256,"endHours":17.08962995782256,"planetary_lord":"Sun"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.08962995782256,"endHours":18.08962995782256,"planetary_lord":"Mars"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.08962995782256,"endHours":19.08962995782256,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.08962995782256,"endHours":20.08962995782256,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.08962995782256,"endHours":21.08962995782256,"planetary_lord":"Moon"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.08962995782256,"endHours":22.08962995782256,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.08962995782256,"endHours":23.08962995782256,"planetary_lord":"Venus"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.08962995782256,"endHours":24.08962995782256,"planetary_lord":"Sun"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.08962995782256,"endHours":25.08962995782256,"planetary_lord":"Mars"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.08962995782256,"endHours":26.08962995782256,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.08962995782256,"endHours":27.08962995782256,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.08962995782256,"endHours":28.08962995782256,"planetary_lord":"Moon"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.08962995782256,"endHours":29.08962995782256,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.08962995782256,"endHours":30.08962995782256,"planetary_lord":"Venus"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.08962995782256,"endHours":31.08962995782256,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Revatī"],"unfavorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Citrā","Svātī","Viśākhā","Anurādhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"North-East","rahuVasa":"South-West","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"tropicalRitu":"Śiśira (Winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.01776169921667,"eotMinutes":-10.9643033372293,"ayanamsa":24.9294}},"calendars":{"vikram_samvat":2134,"vikram_samvatsara":"Sādhāraṇa","saka_samvat":1999,"saka_samvatsara":"Hemalambī","bengali_samvat":1484,"malayalam_era":1253,"nanakshahi_year":608,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Kṛṣṇa Ekādaśī · Vikram 2134 Sādhāraṇa · Śaka 1999 Hemalambī"},"festivals":[{"id":"shattila-ekadashi","name":"Ṣaṭ-tilā Ekādaśī","name_sanskrit":"षट्तिला एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Six uses of tila (sesame) on this Ekādaśī confer mokṣa.","vrata":true,"detection":{"tithi_number":26,"tithi_paksha":"Kṛṣṇa","lunar_month":"Māgha"},"precedence":4},{"id":"ekadashi","name":"Ekādaśī","name_sanskrit":"एकादशी","tradition":"Vaishnava","associated_deity":"Bhagavān Viṣṇu","significance":"Sacred to Bhagavān Viṣṇu; vrata for purification.","vrata":true,"detection":{"any_of":[{"tithi_number":11},{"tithi_number":26}]},"precedence":5}],"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 January 20, 2077 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"January 20, 2077 CE for Kolhāpur, Maharashtra: Kṛṣṇa Ekādaśī, sūryodaya 07:05, sūryāsta 18:23.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2077-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2077-01-20","sa":"https://sa.vidhyamitra.com/city/kolhapur/2077-01-20","hi":"https://hi.vidhyamitra.com/city/kolhapur/2077-01-20","x-default":"https://vidhyamitra.com/city/kolhapur/2077-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:46:24.125Z","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":"2026-06-01T10:46:24.125Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:46:24.125Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}