{"id":"vidhyamitra:city-day:vrindavan:2120-10-05:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2120-10-05","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2120-10-05","date_display":"October 5, 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":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495651.770833,"kali_year":5222,"ahargana":1907186.2708,"sun":{"sidereal_longitude":165.4822,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":320.3719,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.8897,"elapsed_within_tithi_degrees":10.8897},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.3719,"elapsed_within_degrees":0.3719},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":125.854},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":10,"day":5,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2495651.770833,"ahargana":1907186.2708,"kali_year":5222,"ayanamsa_lahiri":25.5399,"grahas":{"sun":{"sidereal_longitude":166.52090699999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":false},"moon":{"sidereal_longitude":319.32580699999994,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":4},"retrograde":false,"latitude":2.4014},"mars":{"sidereal_longitude":92.10420699999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":164.67510700000003,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":2},"retrograde":true},"jupiter":{"sidereal_longitude":89.80580699999996,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"venus":{"sidereal_longitude":203.000807,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":67.25940700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":true},"rahu":{"sidereal_longitude":288.0933,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":108.0933,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Āśleṣā","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":10,"day":5,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2495651.770833,"kali_year":5222,"ahargana":1907186.2708,"sun":{"sidereal_longitude":165.4822,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":320.3719,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.8897,"elapsed_within_tithi_degrees":10.8897},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1,"moon_longitude":320.3719,"elapsed_within_degrees":0.3719},"yoga":{"number":10,"name":"Gaṇḍa","sum_longitude":125.854},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":2.401,"elongation":154.89},"lunar":{"type":"lunar","occurs":false,"moon_latitude":2.401,"opposition_distance":25.11}},"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":"06:13","sunsetLocal":"18:01","solarNoonLocal":"12:07","dayLengthHours":11.793127947393195,"dayLengthDisplay":"11 Hours 47 Mins 35 Secs","nightLengthDisplay":"12 Hours 12 Mins 25 Secs","moonriseLocal":"16:28","moonsetLocal":"04:08","rahuKala":{"name":"Rāhu Kāla","start":"09:10","end":"10:39","startHours":9.16789334214555,"endHours":10.6420343355697,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"13:35","end":"15:04","startHours":13.590316322418,"endHours":15.064457315842148,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"06:13","end":"07:42","startHours":6.2196113552972525,"endHours":7.693752348721402,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:58","end":"09:22","startHours":8.971341209688998,"endHours":9.364445474602105,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:43","end":"07:02","startHours":6.710991686438636,"endHours":7.025475098369121,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:43","end":"12:31","startHours":11.723071064080745,"endHours":12.509279593906957,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:39","end":"05:26","startHours":4.647194295644827,"endHours":5.433402825471039,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:14","end":"06:13","startHours":5.236850693014486,"endHours":6.2196113552972525,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:05","end":"14:52","startHours":14.081696653559383,"endHours":14.867905183385597,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:49","end":"18:13","startHours":17.81273930269045,"endHours":18.212739302690448,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:01","end":"18:30","startHours":18.01273930269045,"endHours":18.50411963383183,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:46","end":"19:31","startHours":17.76273930269045,"endHours":19.51273930269045,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:43","end":"00:31","startHours":23.723071064080745,"endHours":24.509279593906957,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"06:13","end":"07:42","startHours":6.2196113552972525,"endHours":7.693752348721402,"quality":"inauspicious"},{"name":"Śubha","start":"07:42","end":"09:10","startHours":7.693752348721402,"endHours":9.16789334214555,"quality":"auspicious"},{"name":"Roga","start":"09:10","end":"10:39","startHours":9.16789334214555,"endHours":10.6420343355697,"quality":"inauspicious"},{"name":"Udveg","start":"10:39","end":"12:07","startHours":10.6420343355697,"endHours":12.116175328993851,"quality":"inauspicious"},{"name":"Chala","start":"12:07","end":"13:35","startHours":12.116175328993851,"endHours":13.590316322418,"quality":"neutral"},{"name":"Labha","start":"13:35","end":"15:04","startHours":13.590316322418,"endHours":15.064457315842148,"quality":"auspicious"},{"name":"Amṛta","start":"15:04","end":"16:32","startHours":15.064457315842148,"endHours":16.5385983092663,"quality":"auspicious"},{"name":"Kāla","start":"16:32","end":"18:01","startHours":16.5385983092663,"endHours":18.01273930269045,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"18:01","end":"19:32","startHours":18.01273930269045,"endHours":19.5385983092663,"quality":"auspicious"},{"name":"Amṛta","start":"19:32","end":"21:04","startHours":19.5385983092663,"endHours":21.064457315842148,"quality":"auspicious"},{"name":"Kāla","start":"21:04","end":"22:35","startHours":21.064457315842148,"endHours":22.590316322418,"quality":"inauspicious"},{"name":"Śubha","start":"22:35","end":"00:07","startHours":22.590316322418,"endHours":24.11617532899385,"quality":"auspicious"},{"name":"Roga","start":"00:07","end":"01:39","startHours":24.11617532899385,"endHours":25.6420343355697,"quality":"inauspicious"},{"name":"Udveg","start":"01:39","end":"03:10","startHours":25.6420343355697,"endHours":27.167893342145554,"quality":"inauspicious"},{"name":"Chala","start":"03:10","end":"04:42","startHours":27.167893342145554,"endHours":28.693752348721404,"quality":"neutral"},{"name":"Labha","start":"04:42","end":"06:13","startHours":28.693752348721404,"endHours":30.219611355297253,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:13","end":"07:13","startHours":6.2196113552972525,"endHours":7.2196113552972525,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"07:13","end":"08:13","startHours":7.2196113552972525,"endHours":8.219611355297253,"planetary_lord":"Moon"},{"name":"Hora 3","start":"08:13","end":"09:13","startHours":8.219611355297253,"endHours":9.219611355297253,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"09:13","end":"10:13","startHours":9.219611355297253,"endHours":10.219611355297253,"planetary_lord":"Venus"},{"name":"Hora 5","start":"10:13","end":"11:13","startHours":10.219611355297253,"endHours":11.219611355297253,"planetary_lord":"Sun"},{"name":"Hora 6","start":"11:13","end":"12:13","startHours":11.219611355297253,"endHours":12.219611355297253,"planetary_lord":"Mars"},{"name":"Hora 7","start":"12:13","end":"13:13","startHours":12.219611355297253,"endHours":13.219611355297253,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"13:13","end":"14:13","startHours":13.219611355297253,"endHours":14.219611355297253,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"14:13","end":"15:13","startHours":14.219611355297253,"endHours":15.219611355297253,"planetary_lord":"Moon"},{"name":"Hora 10","start":"15:13","end":"16:13","startHours":15.219611355297253,"endHours":16.219611355297253,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"16:13","end":"17:13","startHours":16.219611355297253,"endHours":17.219611355297253,"planetary_lord":"Venus"},{"name":"Hora 12","start":"17:13","end":"18:13","startHours":17.219611355297253,"endHours":18.219611355297253,"planetary_lord":"Sun"},{"name":"Hora 13","start":"18:13","end":"19:13","startHours":18.219611355297253,"endHours":19.219611355297253,"planetary_lord":"Mars"},{"name":"Hora 14","start":"19:13","end":"20:13","startHours":19.219611355297253,"endHours":20.219611355297253,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"20:13","end":"21:13","startHours":20.219611355297253,"endHours":21.219611355297253,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"21:13","end":"22:13","startHours":21.219611355297253,"endHours":22.219611355297253,"planetary_lord":"Moon"},{"name":"Hora 17","start":"22:13","end":"23:13","startHours":22.219611355297253,"endHours":23.219611355297253,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"23:13","end":"00:13","startHours":23.219611355297253,"endHours":24.219611355297253,"planetary_lord":"Venus"},{"name":"Hora 19","start":"00:13","end":"01:13","startHours":24.219611355297253,"endHours":25.219611355297253,"planetary_lord":"Sun"},{"name":"Hora 20","start":"01:13","end":"02:13","startHours":25.219611355297253,"endHours":26.219611355297253,"planetary_lord":"Mars"},{"name":"Hora 21","start":"02:13","end":"03:13","startHours":26.219611355297253,"endHours":27.219611355297253,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"03:13","end":"04:13","startHours":27.219611355297253,"endHours":28.219611355297253,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"04:13","end":"05:13","startHours":28.219611355297253,"endHours":29.219611355297253,"planetary_lord":"Moon"},{"name":"Hora 24","start":"05:13","end":"06:13","startHours":29.219611355297253,"endHours":30.219611355297253,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Hasta","Citrā","Svātī","Viśākhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā"],"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":"East (Pūrva)","chandraVasa":"South","rahuVasa":"East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-4.767124961965051,"eotMinutes":12.392280260369008,"ayanamsa":25.5399}},"calendars":{"vikram_samvat":2177,"vikram_samvatsara":"Vijaya","saka_samvat":2042,"saka_samvatsara":"Vikrama","bengali_samvat":1527,"malayalam_era":1296,"nanakshahi_year":651,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Āśvina","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Kanyā (Puraṭṭāsi)","ritu":"Śarad (Autumn)","display_summary":"Āśvina Śukla Trayodaśī · Vikram 2177 Vijaya · Śaka 2042 Vikrama"},"festivals":[{"id":"pradosha-vrata","name":"Pradoṣa Vrata","name_sanskrit":"प्रदोष व्रत","tradition":"Shaiva","associated_deity":"Śiva","significance":"Twilight worship of Śiva on Trayodaśī.","vrata":true,"detection":{"any_of":[{"tithi_number":13},{"tithi_number":28}]},"precedence":7}],"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 October 5, 2120 CE · Vṛndāvana · Vidhyamitra","description":"October 5, 2120 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 06:13, sūryāsta 18:01.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2120-10-05","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2120-10-05","sa":"https://sa.vidhyamitra.com/city/vrindavan/2120-10-05","hi":"https://hi.vidhyamitra.com/city/vrindavan/2120-10-05","x-default":"https://vidhyamitra.com/city/vrindavan/2120-10-05"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T23:29:10.132Z","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":"2026-06-01T23:29:10.132Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T23:29:10.132Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}