{"id":"vidhyamitra:city-day:vrindavan:2105-01-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2105-01-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2105-01-18","date_display":"January 18, 2105 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":2105,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489912.770833,"kali_year":5206,"ahargana":1901447.2708,"sun":{"sidereal_longitude":272.0949,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":293.2739,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":21.1791,"elapsed_within_tithi_degrees":9.1791},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":293.2739,"elapsed_within_degrees":13.2739},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.3688},"karana":{"half_tithi_index":3,"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":2105,"month":1,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2489912.770833,"ahargana":1901447.2708,"kali_year":5206,"ayanamsa_lahiri":25.3204,"grahas":{"sun":{"sidereal_longitude":272.4420789999999,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":294.216279,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":1},"retrograde":false,"latitude":3.9387},"mars":{"sidereal_longitude":269.8922789999999,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":269.17927899999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":307.77987899999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":313.4939790000001,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":234.210779,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":232.1732,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"ketu":{"sidereal_longitude":52.1732,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":4},"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":2105,"month":1,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2489912.770833,"kali_year":5206,"ahargana":1901447.2708,"sun":{"sidereal_longitude":272.0949,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":293.2739,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":21.1791,"elapsed_within_tithi_degrees":9.1791},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4,"moon_longitude":293.2739,"elapsed_within_degrees":13.2739},"yoga":{"number":16,"name":"Siddhi","sum_longitude":205.3688},"karana":{"half_tithi_index":3,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.939,"elongation":21.179},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.939,"opposition_distance":158.821}},"eclipse_window_40days":[]},"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":"07:11","sunsetLocal":"17:49","solarNoonLocal":"12:30","dayLengthHours":10.62701299187217,"dayLengthDisplay":"10 Hours 37 Mins 37 Secs","nightLengthDisplay":"13 Hours 22 Mins 23 Secs","moonriseLocal":"08:26","moonsetLocal":"19:27","rahuKala":{"name":"Rāhu Kāla","start":"16:29","end":"17:49","startHours":16.480330364980226,"endHours":17.808706988964246,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:30","end":"13:49","startHours":12.495200493028161,"endHours":13.823577117012182,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:09","end":"16:29","startHours":15.151953740996204,"endHours":16.480330364980226,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.661330361862248,"endHours":10.015564128257989,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.6244862050867495,"endHours":7.90787321820334,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:08","end":"12:51","startHours":12.140966726632422,"endHours":12.8494342594239,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.764758931509119,"endHours":6.4732264643005974,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.296109581102728,"endHours":7.181693997092076,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:16","end":"14:58","startHours":14.266369325006856,"endHours":14.974836857798334,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:37","end":"18:01","startHours":17.608706988964247,"endHours":18.008706988964246,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:49","end":"18:15","startHours":17.808706988964246,"endHours":18.25149919695892,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:34","end":"19:19","startHours":17.558706988964246,"endHours":19.308706988964246,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:08","end":"00:51","startHours":24.14096672663242,"endHours":24.8494342594239,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"07:11","end":"08:31","startHours":7.181693997092076,"endHours":8.510070621076096,"quality":"inauspicious"},{"name":"Chala","start":"08:31","end":"09:50","startHours":8.510070621076096,"endHours":9.838447245060118,"quality":"neutral"},{"name":"Labha","start":"09:50","end":"11:10","startHours":9.838447245060118,"endHours":11.16682386904414,"quality":"auspicious"},{"name":"Amṛta","start":"11:10","end":"12:30","startHours":11.16682386904414,"endHours":12.495200493028161,"quality":"auspicious"},{"name":"Kāla","start":"12:30","end":"13:49","startHours":12.495200493028161,"endHours":13.823577117012182,"quality":"inauspicious"},{"name":"Śubha","start":"13:49","end":"15:09","startHours":13.823577117012182,"endHours":15.151953740996204,"quality":"auspicious"},{"name":"Roga","start":"15:09","end":"16:29","startHours":15.151953740996204,"endHours":16.480330364980226,"quality":"inauspicious"},{"name":"Udveg","start":"16:29","end":"17:49","startHours":16.480330364980226,"endHours":17.808706988964246,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:49","end":"19:29","startHours":17.808706988964246,"endHours":19.480330364980226,"quality":"auspicious"},{"name":"Roga","start":"19:29","end":"21:09","startHours":19.480330364980226,"endHours":21.151953740996206,"quality":"inauspicious"},{"name":"Udveg","start":"21:09","end":"22:49","startHours":21.151953740996206,"endHours":22.82357711701218,"quality":"inauspicious"},{"name":"Chala","start":"22:49","end":"00:30","startHours":22.82357711701218,"endHours":24.49520049302816,"quality":"neutral"},{"name":"Labha","start":"00:30","end":"02:10","startHours":24.49520049302816,"endHours":26.16682386904414,"quality":"auspicious"},{"name":"Amṛta","start":"02:10","end":"03:50","startHours":26.16682386904414,"endHours":27.838447245060117,"quality":"auspicious"},{"name":"Kāla","start":"03:50","end":"05:31","startHours":27.838447245060117,"endHours":29.510070621076096,"quality":"inauspicious"},{"name":"Śubha","start":"05:31","end":"07:11","startHours":29.510070621076096,"endHours":31.181693997092076,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.181693997092076,"endHours":8.181693997092076,"planetary_lord":"Sun"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.181693997092076,"endHours":9.181693997092076,"planetary_lord":"Mars"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.181693997092076,"endHours":10.181693997092076,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.181693997092076,"endHours":11.181693997092076,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.181693997092076,"endHours":12.181693997092076,"planetary_lord":"Moon"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.181693997092076,"endHours":13.181693997092076,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.181693997092076,"endHours":14.181693997092076,"planetary_lord":"Venus"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.181693997092076,"endHours":15.181693997092076,"planetary_lord":"Sun"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.181693997092076,"endHours":16.181693997092076,"planetary_lord":"Mars"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.181693997092076,"endHours":17.181693997092076,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.181693997092076,"endHours":18.181693997092076,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.181693997092076,"endHours":19.181693997092076,"planetary_lord":"Moon"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.181693997092076,"endHours":20.181693997092076,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.181693997092076,"endHours":21.181693997092076,"planetary_lord":"Venus"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.181693997092076,"endHours":22.181693997092076,"planetary_lord":"Sun"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.181693997092076,"endHours":23.181693997092076,"planetary_lord":"Mars"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.181693997092076,"endHours":24.181693997092076,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.181693997092076,"endHours":25.181693997092076,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.181693997092076,"endHours":26.181693997092076,"planetary_lord":"Moon"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.181693997092076,"endHours":27.181693997092076,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.181693997092076,"endHours":28.181693997092076,"planetary_lord":"Venus"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.181693997092076,"endHours":29.181693997092076,"planetary_lord":"Sun"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.181693997092076,"endHours":30.181693997092076,"planetary_lord":"Mars"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.181693997092076,"endHours":31.181693997092076,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-East","rahuVasa":"North-East","anandadiYoga":{"name":"Mausala","quality":"Inauspicious"},"tropicalRitu":"Hemanta (Pre-winter)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-20.606507942824578,"eotMinutes":-10.349229581689698,"ayanamsa":25.3204}},"calendars":{"vikram_samvat":2162,"vikram_samvatsara":"Bahudhānya","saka_samvat":2027,"saka_samvatsara":"Krodhana","bengali_samvat":1512,"malayalam_era":1281,"nanakshahi_year":636,"lunar_month":"Māgha","lunar_month_paksha_full":"Māgha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Māgha","lunar_month_amanta":"Māgha","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 Śukla Dvitīyā · Vikram 2162 Bahudhānya · Śaka 2027 Krodhana"},"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":"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 18, 2105 CE · Vṛndāvana · Vidhyamitra","description":"January 18, 2105 CE for Vṛndāvana: Śukla Dvitīyā, sūryodaya 07:11, sūryāsta 17:49.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2105-01-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2105-01-18","sa":"https://sa.vidhyamitra.com/city/vrindavan/2105-01-18","hi":"https://hi.vidhyamitra.com/city/vrindavan/2105-01-18","x-default":"https://vidhyamitra.com/city/vrindavan/2105-01-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T19:40:27.443Z","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":"2026-06-01T19:40:27.443Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T19:40:27.443Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}