{"id":"vidhyamitra:city-day:vrindavan:2075-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2075-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2075-01-20","date_display":"January 20, 2075 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":2075,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478957.770833,"kali_year":5176,"ahargana":1890492.2708,"sun":{"sidereal_longitude":274.9302,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":317.6822,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.752,"elapsed_within_tithi_degrees":6.752},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.6822,"elapsed_within_degrees":11.0156},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.6125},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"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":2075,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2478957.770833,"ahargana":1890492.2708,"kali_year":5176,"ayanamsa_lahiri":24.9014,"grahas":{"sun":{"sidereal_longitude":275.18464100000006,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":318.52124100000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":-3.1837},"mars":{"sidereal_longitude":284.787241,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":268.31554099999994,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":137.549941,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":true},"venus":{"sidereal_longitude":229.606041,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":229.36724100000004,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":92.6218,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":272.6218,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"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":2075,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2478957.770833,"kali_year":5176,"ahargana":1890492.2708,"sun":{"sidereal_longitude":274.9302,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":317.6822,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":42.752,"elapsed_within_tithi_degrees":6.752},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4,"moon_longitude":317.6822,"elapsed_within_degrees":11.0156},"yoga":{"number":18,"name":"Varīyān","sum_longitude":232.6125},"karana":{"half_tithi_index":7,"name":"Viṣṭi"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.184,"elongation":42.752},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.184,"opposition_distance":137.248}},"eclipse_window_40days":[{"offset_days":12,"type":"lunar","occurs":true,"moon_latitude":1.053,"opposition_distance":1.686}]},"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"tier2":{"city":{"slug":"vrindavan","name":"Vṛndāvana","lat":27.565,"lon":77.6593,"tz_offset_hours":5.5,"state":"Uttar Pradesh","country":"IN","tier":"tirtha"},"sunriseLocal":"07:10","sunsetLocal":"17:50","solarNoonLocal":"12:30","dayLengthHours":10.664951001539556,"dayLengthDisplay":"10 Hours 39 Mins 54 Secs","nightLengthDisplay":"13 Hours 20 Mins 06 Secs","moonriseLocal":"09:35","moonsetLocal":"21:13","rahuKala":{"name":"Rāhu Kāla","start":"16:30","end":"17:50","startHours":16.50480834786449,"endHours":17.837927223056933,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:30","end":"13:50","startHours":12.505451722287155,"endHours":13.8385705974796,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:10","end":"16:30","startHours":15.171689472672046,"endHours":16.50480834786449,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.661464788543274,"endHours":10.01696315526126,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.61734917991486,"endHours":7.901747873289248,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.14995335556917,"endHours":12.86095008900514,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:28","startHours":5.750982754645437,"endHours":6.461979488081408,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:10","startHours":6.284230304722415,"endHours":7.172976221517378,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:00","startHours":14.282943555877083,"endHours":14.993940289313054,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.637927223056934,"endHours":18.037927223056933,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:17","startHours":17.837927223056933,"endHours":18.282300181454413,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.587927223056933,"endHours":19.337927223056933,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.14995335556917,"endHours":24.86095008900514,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:10","end":"08:30","startHours":7.172976221517378,"endHours":8.506095096709823,"quality":"inauspicious"},{"name":"Chala","start":"08:30","end":"09:50","startHours":8.506095096709823,"endHours":9.839213971902268,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:10","startHours":9.839213971902268,"endHours":11.172332847094712,"quality":"auspicious"},{"name":"Amṛta","start":"11:10","end":"12:30","startHours":11.172332847094712,"endHours":12.505451722287155,"quality":"auspicious"},{"name":"Kāla","start":"12:30","end":"13:50","startHours":12.505451722287155,"endHours":13.8385705974796,"quality":"inauspicious"},{"name":"Śubha","start":"13:50","end":"15:10","startHours":13.8385705974796,"endHours":15.171689472672046,"quality":"auspicious"},{"name":"Roga","start":"15:10","end":"16:30","startHours":15.171689472672046,"endHours":16.50480834786449,"quality":"inauspicious"},{"name":"Udveg","start":"16:30","end":"17:50","startHours":16.50480834786449,"endHours":17.837927223056933,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:50","end":"19:30","startHours":17.837927223056933,"endHours":19.50480834786449,"quality":"auspicious"},{"name":"Roga","start":"19:30","end":"21:10","startHours":19.50480834786449,"endHours":21.171689472672043,"quality":"inauspicious"},{"name":"Udveg","start":"21:10","end":"22:50","startHours":21.171689472672043,"endHours":22.8385705974796,"quality":"inauspicious"},{"name":"Chala","start":"22:50","end":"00:30","startHours":22.8385705974796,"endHours":24.505451722287155,"quality":"neutral"},{"name":"Labha","start":"00:30","end":"02:10","startHours":24.505451722287155,"endHours":26.17233284709471,"quality":"auspicious"},{"name":"Amṛta","start":"02:10","end":"03:50","startHours":26.17233284709471,"endHours":27.839213971902268,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:30","startHours":27.839213971902268,"endHours":29.50609509670982,"quality":"inauspicious"},{"name":"Śubha","start":"05:30","end":"07:10","startHours":29.50609509670982,"endHours":31.172976221517377,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.172976221517378,"endHours":8.172976221517377,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.172976221517377,"endHours":9.172976221517377,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.172976221517377,"endHours":10.172976221517377,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.172976221517377,"endHours":11.172976221517377,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.172976221517377,"endHours":12.172976221517377,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.172976221517377,"endHours":13.172976221517377,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.172976221517377,"endHours":14.172976221517377,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.172976221517377,"endHours":15.172976221517377,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.172976221517377,"endHours":16.172976221517377,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.172976221517377,"endHours":17.172976221517377,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.172976221517377,"endHours":18.172976221517377,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.172976221517377,"endHours":19.172976221517377,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.172976221517377,"endHours":20.172976221517377,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.172976221517377,"endHours":21.172976221517377,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.172976221517377,"endHours":22.172976221517377,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.172976221517377,"endHours":23.172976221517377,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.172976221517377,"endHours":24.172976221517377,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.172976221517377,"endHours":25.172976221517377,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.172976221517377,"endHours":26.172976221517377,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.172976221517377,"endHours":27.172976221517377,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.172976221517377,"endHours":28.172976221517377,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.172976221517377,"endHours":29.172976221517377,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.172976221517377,"endHours":30.172976221517377,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.172976221517377,"endHours":31.172976221517377,"planetary_lord":"Jupiter"}],"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","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"West (Paścim)","chandraVasa":"South","rahuVasa":"North-East","anandadiYoga":{"name":"Mātaṇga","quality":"Auspicious"},"drikRitu":"Śiśira (Winter) (Drik)","vedicRitu":"Hemanta (Pre-winter)","drikAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":-20.129757968265643,"eotMinutes":-10.9643033372293,"ayanamsa":24.9014}},"calendars":{"vikram_samvat":2132,"vikram_samvatsara":"Kīlaka","saka_samvat":1997,"saka_samvatsara":"Manmatha","bengali_samvat":1482,"malayalam_era":1251,"nanakshahi_year":606,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","solar_month":"Makara (Tai)","ritu":"Śiśira (Winter)","display_summary":"Māgha Śukla Caturthī · Vikram 2132 Kīlaka · Śaka 1997 Manmatha"},"festivals":[{"id":"makara-sankranti","name":"Makara Saṅkrānti (Uttarāyaṇa)","name_sanskrit":"मकर सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Capricorn; Uttarāyaṇa (north-going) begins. Bhīṣma's chosen mahaprasthāna time.","vrata":true,"detection":{"sun_rashi":"Makara"},"precedence":1,"sources":["Mahābhārata Bhīṣma-Stuti","Sūrya-Siddhānta"]},{"id":"pongal","name":"Pongal / Thai Pongal","name_sanskrit":"पोङ्गल","tradition":"Regional","associated_deity":"Sūrya Bhagavān","significance":"Tamil 4-day harvest festival; coincides with Makara Saṅkrānti.","vrata":false,"detection":{"sun_rashi":"Makara"},"precedence":2},{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"vrindavan"},"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, 2075 CE · Vṛndāvana · Vidhyamitra","description":"January 20, 2075 CE for Vṛndāvana: Śukla Caturthī, sūryodaya 07:10, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2075-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2075-01-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2075-01-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2075-01-20","x-default":"https://vidhyamitra.com/city/vrindavan/2075-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-19T05:49:13.199Z","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":"2026-05-19T05:49:13.199Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-19T05:49:13.199Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}