{"id":"vidhyamitra:city-day:vrindavan:2080-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2080-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2080-01-20","date_display":"January 20, 2080 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":2080,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2480783.770833,"kali_year":5181,"ahargana":1892318.2708,"sun":{"sidereal_longitude":274.6288,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":251.6311,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.0023,"elapsed_within_tithi_degrees":1.0023},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.6311,"elapsed_within_degrees":11.6311},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":166.2599},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"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":2080,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2480783.770833,"ahargana":1892318.2708,"kali_year":5181,"ayanamsa_lahiri":24.9713,"grahas":{"sun":{"sidereal_longitude":274.897074,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":252.65297399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false,"latitude":-4.3615},"mars":{"sidereal_longitude":201.01497399999994,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":289.656474,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":273.78437400000007,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"venus":{"sidereal_longitude":244.092574,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":280.067374,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":355.8715,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":175.8715,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"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":2080,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2480783.770833,"kali_year":5181,"ahargana":1892318.2708,"sun":{"sidereal_longitude":274.6288,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":251.6311,"rashi":9,"rashi_name":"Dhanu"},"tithi":{"number":29,"name":"Caturdaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturdaśī","elongation_degrees":337.0023,"elapsed_within_tithi_degrees":1.0023},"nakshatra":{"number":19,"name":"Mūla","pada":4,"moon_longitude":251.6311,"elapsed_within_degrees":11.6311},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":166.2599},"karana":{"half_tithi_index":56,"name":"Viṣṭi"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.361,"elongation":22.998},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.361,"opposition_distance":157.002}},"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":"07:10","sunsetLocal":"17:50","solarNoonLocal":"12:30","dayLengthHours":10.661295544671916,"dayLengthDisplay":"10 Hours 39 Mins 41 Secs","nightLengthDisplay":"13 Hours 20 Mins 19 Secs","moonriseLocal":"05:50","moonsetLocal":"16:13","rahuKala":{"name":"Rāhu Kāla","start":"09:50","end":"11:10","startHours":9.840127836119176,"endHours":11.172789779203168,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:50","end":"15:10","startHours":13.838113665371147,"endHours":15.170775608455134,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:10","end":"08:30","startHours":7.174803949951198,"endHours":8.507465893035189,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.662439577041312,"endHours":10.017816095197043,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:54","startHours":7.619024597645861,"endHours":7.903325812170445,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.150075204131424,"endHours":12.860828240442887,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:45","end":"06:28","startHours":5.753297877328277,"endHours":6.4640509136397375,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:17","end":"07:10","startHours":6.286362654561872,"endHours":7.174803949951198,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"15:00","startHours":14.282334313065808,"endHours":14.99308734937727,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.636099494623114,"endHours":18.036099494623112,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:17","startHours":17.836099494623113,"endHours":18.280320142317777,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.586099494623113,"endHours":19.336099494623113,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.150075204131426,"endHours":24.860828240442885,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:10","end":"08:30","startHours":7.174803949951198,"endHours":8.507465893035189,"quality":"inauspicious"},{"name":"Śubha","start":"08:30","end":"09:50","startHours":8.507465893035189,"endHours":9.840127836119176,"quality":"auspicious"},{"name":"Roga","start":"09:50","end":"11:10","startHours":9.840127836119176,"endHours":11.172789779203168,"quality":"inauspicious"},{"name":"Udveg","start":"11:10","end":"12:30","startHours":11.172789779203168,"endHours":12.505451722287155,"quality":"inauspicious"},{"name":"Chala","start":"12:30","end":"13:50","startHours":12.505451722287155,"endHours":13.838113665371147,"quality":"neutral"},{"name":"Labha","start":"13:50","end":"15:10","startHours":13.838113665371147,"endHours":15.170775608455134,"quality":"auspicious"},{"name":"Amṛta","start":"15:10","end":"16:30","startHours":15.170775608455134,"endHours":16.503437551539125,"quality":"auspicious"},{"name":"Kāla","start":"16:30","end":"17:50","startHours":16.503437551539125,"endHours":17.836099494623113,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:50","end":"19:30","startHours":17.836099494623113,"endHours":19.503437551539122,"quality":"auspicious"},{"name":"Amṛta","start":"19:30","end":"21:10","startHours":19.503437551539122,"endHours":21.170775608455134,"quality":"auspicious"},{"name":"Kāla","start":"21:10","end":"22:50","startHours":21.170775608455134,"endHours":22.838113665371147,"quality":"inauspicious"},{"name":"Śubha","start":"22:50","end":"00:30","startHours":22.838113665371147,"endHours":24.505451722287155,"quality":"auspicious"},{"name":"Roga","start":"00:30","end":"02:10","startHours":24.505451722287155,"endHours":26.172789779203164,"quality":"inauspicious"},{"name":"Udveg","start":"02:10","end":"03:50","startHours":26.172789779203164,"endHours":27.840127836119176,"quality":"inauspicious"},{"name":"Chala","start":"03:50","end":"05:30","startHours":27.840127836119176,"endHours":29.50746589303519,"quality":"neutral"},{"name":"Labha","start":"05:30","end":"07:10","startHours":29.50746589303519,"endHours":31.174803949951198,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:10","end":"08:10","startHours":7.174803949951198,"endHours":8.174803949951198,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:10","end":"09:10","startHours":8.174803949951198,"endHours":9.174803949951198,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:10","end":"10:10","startHours":9.174803949951198,"endHours":10.174803949951198,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:10","end":"11:10","startHours":10.174803949951198,"endHours":11.174803949951198,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:10","end":"12:10","startHours":11.174803949951198,"endHours":12.174803949951198,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:10","end":"13:10","startHours":12.174803949951198,"endHours":13.174803949951198,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:10","end":"14:10","startHours":13.174803949951198,"endHours":14.174803949951198,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:10","end":"15:10","startHours":14.174803949951198,"endHours":15.174803949951198,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:10","end":"16:10","startHours":15.174803949951198,"endHours":16.174803949951198,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:10","end":"17:10","startHours":16.174803949951198,"endHours":17.174803949951198,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:10","end":"18:10","startHours":17.174803949951198,"endHours":18.174803949951198,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:10","end":"19:10","startHours":18.174803949951198,"endHours":19.174803949951198,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:10","end":"20:10","startHours":19.174803949951198,"endHours":20.174803949951198,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:10","end":"21:10","startHours":20.174803949951198,"endHours":21.174803949951198,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:10","end":"22:10","startHours":21.174803949951198,"endHours":22.174803949951198,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:10","end":"23:10","startHours":22.174803949951198,"endHours":23.174803949951198,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:10","end":"00:10","startHours":23.174803949951198,"endHours":24.174803949951198,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:10","end":"01:10","startHours":24.174803949951198,"endHours":25.174803949951198,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:10","end":"02:10","startHours":25.174803949951198,"endHours":26.174803949951198,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:10","end":"03:10","startHours":26.174803949951198,"endHours":27.174803949951198,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:10","end":"04:10","startHours":27.174803949951198,"endHours":28.174803949951198,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:10","end":"05:10","startHours":28.174803949951198,"endHours":29.174803949951198,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:10","end":"06:10","startHours":29.174803949951198,"endHours":30.174803949951198,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:10","end":"07:10","startHours":30.174803949951198,"endHours":31.174803949951198,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Dhanu","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Siṃha","Vṛścika","Makara","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"East","rahuVasa":"East","anandadiYoga":{"name":"Lumba","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":-20.175835741913588,"eotMinutes":-10.9643033372293,"ayanamsa":24.9713}},"calendars":{"vikram_samvat":2137,"vikram_samvatsara":"Pramādī","saka_samvat":2002,"saka_samvatsara":"Śārvarī","bengali_samvat":1487,"malayalam_era":1256,"nanakshahi_year":611,"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 Caturdaśī · Vikram 2137 Pramādī · Śaka 2002 Śārvarī"},"festivals":[{"id":"masika-shivaratri","name":"Māsika Śivarātri","name_sanskrit":"मासिक शिवरात्रि","tradition":"Shaiva","associated_deity":"Śiva","significance":"Monthly Śiva observance.","vrata":true,"detection":{"tithi_number":29,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"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":"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, 2080 CE · Vṛndāvana · Vidhyamitra","description":"January 20, 2080 CE for Vṛndāvana: Kṛṣṇa Caturdaśī, sūryodaya 07:10, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2080-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2080-01-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2080-01-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2080-01-20","x-default":"https://vidhyamitra.com/city/vrindavan/2080-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:35:13.564Z","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":"2026-06-01T01:35:13.564Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:35:13.564Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}