{"id":"vidhyamitra:city-day:vrindavan:2120-01-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2120-01-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2120-01-20","date_display":"January 20, 2120 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":2120,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495392.770833,"kali_year":5221,"ahargana":1906927.2708,"sun":{"sidereal_longitude":273.2432,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":142.7505,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":229.5073,"elapsed_within_tithi_degrees":1.5073},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":142.7505,"elapsed_within_degrees":9.4172},"yoga":{"number":5,"name":"Śobhana","sum_longitude":55.9936},"karana":{"half_tithi_index":38,"name":"Kaulava"},"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":2120,"month":1,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495392.770833,"ahargana":1906927.2708,"kali_year":5221,"ayanamsa_lahiri":25.53,"grahas":{"sun":{"sidereal_longitude":273.61610299999995,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":false},"moon":{"sidereal_longitude":139.63480300000003,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false,"latitude":-1.6064},"mars":{"sidereal_longitude":264.56130299999995,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":290.763103,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":49.67520300000001,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"venus":{"sidereal_longitude":244.90010300000006,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":46.76590299999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":301.8164,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":121.8164,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","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":2120,"month":1,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495392.770833,"kali_year":5221,"ahargana":1906927.2708,"sun":{"sidereal_longitude":273.2432,"rashi":10,"rashi_name":"Makara"},"moon":{"sidereal_longitude":142.7505,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":229.5073,"elapsed_within_tithi_degrees":1.5073},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3,"moon_longitude":142.7505,"elapsed_within_degrees":9.4172},"yoga":{"number":5,"name":"Śobhana","sum_longitude":55.9936},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.606,"elongation":130.493},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.606,"opposition_distance":49.507}},"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":"17:50","solarNoonLocal":"12:30","dayLengthHours":10.649314558387182,"dayLengthDisplay":"10 Hours 38 Mins 58 Secs","nightLengthDisplay":"13 Hours 21 Mins 02 Secs","moonriseLocal":"21:20","moonsetLocal":"09:49","rahuKala":{"name":"Rāhu Kāla","start":"09:51","end":"11:10","startHours":9.843123082690358,"endHours":11.174287402488757,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:50","end":"15:10","startHours":13.836616042085552,"endHours":15.167780361883949,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:11","end":"08:31","startHours":7.180794443093563,"endHours":8.511958762891961,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:40","end":"10:01","startHours":9.66563450671724,"endHours":10.020611658663478,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:37","end":"07:55","startHours":7.624515883026363,"endHours":7.908497604583355,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"12:09","end":"12:52","startHours":12.150474570340917,"endHours":12.860428874233394,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:46","end":"06:28","startHours":5.760885835308605,"endHours":6.470840139201084,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"06:18","end":"07:11","startHours":6.293351563227965,"endHours":7.180794443093563,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:17","end":"14:59","startHours":14.280337482018352,"endHours":14.99029178591083,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:38","end":"18:02","startHours":17.630109001480747,"endHours":18.030109001480746,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:50","end":"18:16","startHours":17.830109001480746,"endHours":18.273830441413544,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:35","end":"19:20","startHours":17.580109001480746,"endHours":19.330109001480746,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"00:09","end":"00:52","startHours":24.150474570340915,"endHours":24.860428874233396,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"07:11","end":"08:31","startHours":7.180794443093563,"endHours":8.511958762891961,"quality":"inauspicious"},{"name":"Śubha","start":"08:31","end":"09:51","startHours":8.511958762891961,"endHours":9.843123082690358,"quality":"auspicious"},{"name":"Roga","start":"09:51","end":"11:10","startHours":9.843123082690358,"endHours":11.174287402488757,"quality":"inauspicious"},{"name":"Udveg","start":"11:10","end":"12:30","startHours":11.174287402488757,"endHours":12.505451722287155,"quality":"inauspicious"},{"name":"Chala","start":"12:30","end":"13:50","startHours":12.505451722287155,"endHours":13.836616042085552,"quality":"neutral"},{"name":"Labha","start":"13:50","end":"15:10","startHours":13.836616042085552,"endHours":15.167780361883949,"quality":"auspicious"},{"name":"Amṛta","start":"15:10","end":"16:30","startHours":15.167780361883949,"endHours":16.49894468168235,"quality":"auspicious"},{"name":"Kāla","start":"16:30","end":"17:50","startHours":16.49894468168235,"endHours":17.830109001480746,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"17:50","end":"19:30","startHours":17.830109001480746,"endHours":19.49894468168235,"quality":"auspicious"},{"name":"Amṛta","start":"19:30","end":"21:10","startHours":19.49894468168235,"endHours":21.16778036188395,"quality":"auspicious"},{"name":"Kāla","start":"21:10","end":"22:50","startHours":21.16778036188395,"endHours":22.836616042085552,"quality":"inauspicious"},{"name":"Śubha","start":"22:50","end":"00:30","startHours":22.836616042085552,"endHours":24.505451722287155,"quality":"auspicious"},{"name":"Roga","start":"00:30","end":"02:10","startHours":24.505451722287155,"endHours":26.17428740248876,"quality":"inauspicious"},{"name":"Udveg","start":"02:10","end":"03:51","startHours":26.17428740248876,"endHours":27.84312308269036,"quality":"inauspicious"},{"name":"Chala","start":"03:51","end":"05:31","startHours":27.84312308269036,"endHours":29.51195876289196,"quality":"neutral"},{"name":"Labha","start":"05:31","end":"07:11","startHours":29.51195876289196,"endHours":31.180794443093564,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"07:11","end":"08:11","startHours":7.180794443093563,"endHours":8.180794443093564,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"08:11","end":"09:11","startHours":8.180794443093564,"endHours":9.180794443093564,"planetary_lord":"Moon"},{"name":"Hora 3","start":"09:11","end":"10:11","startHours":9.180794443093564,"endHours":10.180794443093564,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"10:11","end":"11:11","startHours":10.180794443093564,"endHours":11.180794443093564,"planetary_lord":"Venus"},{"name":"Hora 5","start":"11:11","end":"12:11","startHours":11.180794443093564,"endHours":12.180794443093564,"planetary_lord":"Sun"},{"name":"Hora 6","start":"12:11","end":"13:11","startHours":12.180794443093564,"endHours":13.180794443093564,"planetary_lord":"Mars"},{"name":"Hora 7","start":"13:11","end":"14:11","startHours":13.180794443093564,"endHours":14.180794443093564,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"14:11","end":"15:11","startHours":14.180794443093564,"endHours":15.180794443093564,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"15:11","end":"16:11","startHours":15.180794443093564,"endHours":16.180794443093564,"planetary_lord":"Moon"},{"name":"Hora 10","start":"16:11","end":"17:11","startHours":16.180794443093564,"endHours":17.180794443093564,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"17:11","end":"18:11","startHours":17.180794443093564,"endHours":18.180794443093564,"planetary_lord":"Venus"},{"name":"Hora 12","start":"18:11","end":"19:11","startHours":18.180794443093564,"endHours":19.180794443093564,"planetary_lord":"Sun"},{"name":"Hora 13","start":"19:11","end":"20:11","startHours":19.180794443093564,"endHours":20.180794443093564,"planetary_lord":"Mars"},{"name":"Hora 14","start":"20:11","end":"21:11","startHours":20.180794443093564,"endHours":21.180794443093564,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"21:11","end":"22:11","startHours":21.180794443093564,"endHours":22.180794443093564,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"22:11","end":"23:11","startHours":22.180794443093564,"endHours":23.180794443093564,"planetary_lord":"Moon"},{"name":"Hora 17","start":"23:11","end":"00:11","startHours":23.180794443093564,"endHours":24.180794443093564,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"00:11","end":"01:11","startHours":24.180794443093564,"endHours":25.180794443093564,"planetary_lord":"Venus"},{"name":"Hora 19","start":"01:11","end":"02:11","startHours":25.180794443093564,"endHours":26.180794443093564,"planetary_lord":"Sun"},{"name":"Hora 20","start":"02:11","end":"03:11","startHours":26.180794443093564,"endHours":27.180794443093564,"planetary_lord":"Mars"},{"name":"Hora 21","start":"03:11","end":"04:11","startHours":27.180794443093564,"endHours":28.180794443093564,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"04:11","end":"05:11","startHours":28.180794443093564,"endHours":29.180794443093564,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"05:11","end":"06:11","startHours":29.180794443093564,"endHours":30.180794443093564,"planetary_lord":"Moon"},{"name":"Hora 24","start":"06:11","end":"07:11","startHours":30.180794443093564,"endHours":31.180794443093564,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Uttara Phalgunī","Hasta","Citrā","Svātī","Viśākhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Mithuna","Siṃha","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Meṣa","Karka","Kanyā","Vṛścika","Dhanu","Mīna"]},"dishaShool":"East (Pūrva)","chandraVasa":"West","rahuVasa":"East","anandadiYoga":{"name":"Dhvaja","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":-20.326647883157708,"eotMinutes":-10.9643033372293,"ayanamsa":25.53}},"calendars":{"vikram_samvat":2177,"vikram_samvatsara":"Vijaya","saka_samvat":2042,"saka_samvatsara":"Vikrama","bengali_samvat":1527,"malayalam_era":1296,"nanakshahi_year":651,"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 Pañcamī · Vikram 2177 Vijaya · Śaka 2042 Vikrama"},"festivals":[],"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, 2120 CE · Vṛndāvana · Vidhyamitra","description":"January 20, 2120 CE for Vṛndāvana: Kṛṣṇa Pañcamī, sūryodaya 07:11, sūryāsta 17:50.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2120-01-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2120-01-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2120-01-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2120-01-20","x-default":"https://vidhyamitra.com/city/vrindavan/2120-01-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T19:02:47.967Z","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":"2026-05-31T19:02:47.967Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T19:02:47.967Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}