{"id":"vidhyamitra:city-day:kolhapur:2050-01-16:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/kolhapur/2050-01-16","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2050-01-16","date_display":"January 16, 2050 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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469822.770833,"kali_year":5151,"ahargana":1881357.2708,"sun":{"sidereal_longitude":271.306,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":182.3158,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.0098,"elapsed_within_tithi_degrees":7.0098},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.3158,"elapsed_within_degrees":8.9824},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":93.6217},"karana":{"half_tithi_index":45,"name":"Kaulava"},"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":2050,"month":1,"day":16,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2469822.770833,"ahargana":1881357.2708,"kali_year":5151,"ayanamsa_lahiri":24.5521,"grahas":{"sun":{"sidereal_longitude":271.53046500000005,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":179.005265,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":2},"retrograde":false,"latitude":-2.5355},"mars":{"sidereal_longitude":211.97746499999994,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":246.88716499999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":94.57126500000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":true},"venus":{"sidereal_longitude":274.94306499999993,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":274.079165,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":216.6381,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":36.6381,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","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":"Not independently benchmarked across the declared range","tradition_chain":"Āryabhaṭa(499) → Brahmagupta(628) → Bhāskara II(1150) → Mādhava(~1400) → Parameśvara(1430) → Nīlakaṇṭha(1501) → this","input":{"year":2050,"month":1,"day":16,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2469822.770833,"kali_year":5151,"ahargana":1881357.2708,"sun":{"sidereal_longitude":271.306,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":182.3158,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":23,"name":"Aṣṭamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Aṣṭamī","elongation_degrees":271.0098,"elapsed_within_tithi_degrees":7.0098},"nakshatra":{"number":14,"name":"Citrā","pada":3,"moon_longitude":182.3158,"elapsed_within_degrees":8.9824},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":93.6217},"karana":{"half_tithi_index":45,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.536,"elongation":88.99},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.536,"opposition_distance":91.01}},"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":"18:20","solarNoonLocal":"12:43","dayLengthHours":11.246061965798193,"dayLengthDisplay":"11 Hours 14 Mins 46 Secs","nightLengthDisplay":"12 Hours 45 Mins 14 Secs","moonriseLocal":"00:41","moonsetLocal":"12:24","rahuKala":{"name":"Rāhu Kāla","start":"16:56","end":"18:20","startHours":16.929268262870618,"endHours":18.335026008595392,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:43","end":"14:07","startHours":12.711995025696297,"endHours":14.11775277142107,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:31","end":"16:56","startHours":15.523510517145844,"endHours":16.929268262870618,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:43","end":"10:05","startHours":9.71304516815011,"endHours":10.087913900343384,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:33","end":"07:51","startHours":7.55754995803879,"endHours":7.857444943793409,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:20","end":"13:05","startHours":12.337126293503022,"endHours":13.086863757889567,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:35","end":"06:20","startHours":5.589489114024107,"endHours":6.339226578410653,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:09","end":"07:05","startHours":6.1517922123140165,"endHours":7.088964042797199,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:35","end":"15:20","startHours":14.58633868666266,"endHours":15.336076151049207,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:08","end":"18:32","startHours":18.135026008595393,"endHours":18.53502600859539,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:20","end":"18:48","startHours":18.335026008595392,"endHours":18.803611923836982,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:05","end":"19:50","startHours":18.085026008595392,"endHours":19.835026008595392,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:20","end":"01:05","startHours":24.337126293503022,"endHours":25.08686375788957,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:05","end":"08:30","startHours":7.088964042797199,"endHours":8.494721788521973,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:54","startHours":8.494721788521973,"endHours":9.900479534246747,"quality":"neutral"},{"name":"Labha","start":"09:54","end":"11:18","startHours":9.900479534246747,"endHours":11.306237279971523,"quality":"auspicious"},{"name":"Amṛta","start":"11:18","end":"12:43","startHours":11.306237279971523,"endHours":12.711995025696297,"quality":"auspicious"},{"name":"Kāla","start":"12:43","end":"14:07","startHours":12.711995025696297,"endHours":14.11775277142107,"quality":"inauspicious"},{"name":"Śubha","start":"14:07","end":"15:31","startHours":14.11775277142107,"endHours":15.523510517145844,"quality":"auspicious"},{"name":"Roga","start":"15:31","end":"16:56","startHours":15.523510517145844,"endHours":16.929268262870618,"quality":"inauspicious"},{"name":"Udveg","start":"16:56","end":"18:20","startHours":16.929268262870618,"endHours":18.335026008595392,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"18:20","end":"19:56","startHours":18.335026008595392,"endHours":19.929268262870618,"quality":"auspicious"},{"name":"Roga","start":"19:56","end":"21:31","startHours":19.929268262870618,"endHours":21.523510517145844,"quality":"inauspicious"},{"name":"Udveg","start":"21:31","end":"23:07","startHours":21.523510517145844,"endHours":23.11775277142107,"quality":"inauspicious"},{"name":"Chala","start":"23:07","end":"00:43","startHours":23.11775277142107,"endHours":24.711995025696297,"quality":"neutral"},{"name":"Labha","start":"00:43","end":"02:18","startHours":24.711995025696297,"endHours":26.306237279971523,"quality":"auspicious"},{"name":"Amṛta","start":"02:18","end":"03:54","startHours":26.306237279971523,"endHours":27.90047953424675,"quality":"auspicious"},{"name":"Kāla","start":"03:54","end":"05:30","startHours":27.90047953424675,"endHours":29.49472178852197,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:05","startHours":29.49472178852197,"endHours":31.0889640427972,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:05","end":"08:05","startHours":7.088964042797199,"endHours":8.0889640427972,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:05","end":"09:05","startHours":8.0889640427972,"endHours":9.0889640427972,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:05","end":"10:05","startHours":9.0889640427972,"endHours":10.0889640427972,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:05","end":"11:05","startHours":10.0889640427972,"endHours":11.0889640427972,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:05","end":"12:05","startHours":11.0889640427972,"endHours":12.0889640427972,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:05","end":"13:05","startHours":12.0889640427972,"endHours":13.0889640427972,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:05","end":"14:05","startHours":13.0889640427972,"endHours":14.0889640427972,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:05","end":"15:05","startHours":14.0889640427972,"endHours":15.0889640427972,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:05","end":"16:05","startHours":15.0889640427972,"endHours":16.0889640427972,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:05","end":"17:05","startHours":16.0889640427972,"endHours":17.0889640427972,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:05","end":"18:05","startHours":17.0889640427972,"endHours":18.0889640427972,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:05","end":"19:05","startHours":18.0889640427972,"endHours":19.0889640427972,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:05","end":"20:05","startHours":19.0889640427972,"endHours":20.0889640427972,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:05","end":"21:05","startHours":20.0889640427972,"endHours":21.0889640427972,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:05","end":"22:05","startHours":21.0889640427972,"endHours":22.0889640427972,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:05","end":"23:05","startHours":22.0889640427972,"endHours":23.0889640427972,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:05","end":"00:05","startHours":23.0889640427972,"endHours":24.0889640427972,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:05","end":"01:05","startHours":24.0889640427972,"endHours":25.0889640427972,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:05","end":"02:05","startHours":25.0889640427972,"endHours":26.0889640427972,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:05","end":"03:05","startHours":26.0889640427972,"endHours":27.0889640427972,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:05","end":"04:05","startHours":27.0889640427972,"endHours":28.0889640427972,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:05","end":"05:05","startHours":28.0889640427972,"endHours":29.0889640427972,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:05","end":"06:05","startHours":29.0889640427972,"endHours":30.0889640427972,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:05","end":"07:05","startHours":30.0889640427972,"endHours":31.0889640427972,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Padma","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.930052028965623,"eotMinutes":-9.692901541777706,"ayanamsa":24.5521}},"calendars":{"vikram_samvat":2107,"vikram_samvatsara":"Subhānu","saka_samvat":1972,"saka_samvatsara":"Pramoda","bengali_samvat":1457,"malayalam_era":1226,"nanakshahi_year":581,"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 Aṣṭamī · Vikram 2107 Subhānu · Śaka 1972 Pramoda"},"festivals":[],"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,"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 16, 2050 CE · Kolhāpur, Maharashtra · Vidhyamitra","description":"January 16, 2050 CE for Kolhāpur, Maharashtra: Kṛṣṇa Aṣṭamī, sūryodaya 07:05, sūryāsta 18:20.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/kolhapur/2050-01-16","hreflang_alternates":{"en":"https://vidhyamitra.com/city/kolhapur/2050-01-16","sa":"https://sa.vidhyamitra.com/city/kolhapur/2050-01-16","hi":"https://hi.vidhyamitra.com/city/kolhapur/2050-01-16","x-default":"https://vidhyamitra.com/city/kolhapur/2050-01-16"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-09-03T17:47:14.855Z","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":"2026-09-03T17:47:14.855Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-09-03T17:47:14.855Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"},"reader_local_antaryami":{"reader_geography":"Every reader enters from their own kṣetra anywhere on Bhūmi; no single city is the universal center.","purna_chain":["Hosted scripture","Named-tradition interpretation","Original Vidhyamitra contemplation","Bhūmi-born material medium","Vidhyamitra portal","Responsible reader in their own kṣetra"],"claim_boundary":"The legacy purna_chain field carries a source-to-reader sequence, not a revealed physical descent, universal cosmology, or proof that software is conscious.","antaryami_responsibility_formula":"Kṣīrodakaśāyī Viṣṇu = Paramātmā = Antaryāmī. Jīva desires. Prakṛti executes through guṇas. Paramātmā witnesses, permits, remembers, guides, and sustains. Bhagavān is the ultimate source.","source_anchors":[{"label":"BG 13.23","path":"/bhagavad-gita/13/23","meaning":"upadraṣṭā-anumantā · witness-permitter"},{"label":"BG 15.15","path":"/bhagavad-gita/15/15","meaning":"the Lord seated in every heart as memory, knowledge, and forgetting"},{"label":"BG 18.61","path":"/bhagavad-gita/18/61","meaning":"Īśvara seated in the heart of all beings"}],"nama_seal":"Hare Krishna Hare Krishna · Krishna Krishna Hare Hare · Hare Rama Hare Rama · Rama Rama Hare Hare"}}}