{"id":"vidhyamitra:city-day:vrindavan:2113-09-11:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2113-09-11","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2113-09-11","date_display":"September 11, 2113 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":2113,"month":9,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493070.770833,"kali_year":5215,"ahargana":1904605.2708,"sun":{"sidereal_longitude":141.8653,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":153.9133,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.048,"elapsed_within_tithi_degrees":0.048},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":153.9133,"elapsed_within_degrees":7.2466},"yoga":{"number":23,"name":"Śubha","sum_longitude":295.7786},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2113,"month":9,"day":11,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2493070.770833,"ahargana":1904605.2708,"kali_year":5215,"ayanamsa_lahiri":25.4412,"grahas":{"sun":{"sidereal_longitude":142.854421,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"moon":{"sidereal_longitude":152.58652099999995,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":4.4994},"mars":{"sidereal_longitude":134.75732100000005,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":167.328121,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"jupiter":{"sidereal_longitude":205.67702099999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":118.48152100000004,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":329.655221,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":64.8471,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":244.8471,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2113,"month":9,"day":11,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2493070.770833,"kali_year":5215,"ahargana":1904605.2708,"sun":{"sidereal_longitude":141.8653,"rashi":5,"rashi_name":"Siṃha"},"moon":{"sidereal_longitude":153.9133,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":2,"name":"Dvitīyā","paksha":"Śukla","full_name":"Śukla Dvitīyā","elongation_degrees":12.048,"elapsed_within_tithi_degrees":0.048},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":3,"moon_longitude":153.9133,"elapsed_within_degrees":7.2466},"yoga":{"number":23,"name":"Śubha","sum_longitude":295.7786},"karana":{"half_tithi_index":2,"name":"Bālava"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.499,"elongation":12.048},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.499,"opposition_distance":167.952}},"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":"06:02","sunsetLocal":"18:29","solarNoonLocal":"12:15","dayLengthHours":12.448764545425135,"dayLengthDisplay":"12 Hours 26 Mins 56 Secs","nightLengthDisplay":"11 Hours 33 Mins 04 Secs","moonriseLocal":"06:50","moonsetLocal":"18:59","rahuKala":{"name":"Rāhu Kāla","start":"07:35","end":"09:09","startHours":7.58752009289286,"endHours":9.143615661071003,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:15","startHours":10.699711229249143,"endHours":12.255806797427287,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"13:49","end":"15:22","startHours":13.811902365605427,"endHours":15.36799793378357,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:56","end":"09:21","startHours":8.936136251980583,"endHours":9.35109507016142,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:33","end":"06:53","startHours":6.550123047440765,"endHours":6.882090101985436,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:50","end":"12:40","startHours":11.84084797924645,"endHours":12.670765615608124,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:22","end":"05:12","startHours":4.371589251991367,"endHours":5.201506888353043,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:00","end":"06:02","startHours":4.994027479262623,"endHours":6.031424524714718,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:20","end":"15:10","startHours":14.330600888331475,"endHours":15.16051852469315,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:17","end":"18:41","startHours":18.280189070139855,"endHours":18.680189070139853,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:29","end":"19:00","startHours":18.480189070139854,"endHours":18.998887592865902,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:14","end":"19:59","startHours":18.230189070139854,"endHours":19.980189070139854,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:50","end":"00:40","startHours":23.840847979246448,"endHours":24.670765615608126,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"06:02","end":"07:35","startHours":6.031424524714718,"endHours":7.58752009289286,"quality":"auspicious"},{"name":"Kāla","start":"07:35","end":"09:09","startHours":7.58752009289286,"endHours":9.143615661071003,"quality":"inauspicious"},{"name":"Śubha","start":"09:09","end":"10:42","startHours":9.143615661071003,"endHours":10.699711229249143,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:15","startHours":10.699711229249143,"endHours":12.255806797427287,"quality":"inauspicious"},{"name":"Udveg","start":"12:15","end":"13:49","startHours":12.255806797427287,"endHours":13.811902365605427,"quality":"inauspicious"},{"name":"Chala","start":"13:49","end":"15:22","startHours":13.811902365605427,"endHours":15.36799793378357,"quality":"neutral"},{"name":"Labha","start":"15:22","end":"16:55","startHours":15.36799793378357,"endHours":16.92409350196171,"quality":"auspicious"},{"name":"Amṛta","start":"16:55","end":"18:29","startHours":16.92409350196171,"endHours":18.480189070139854,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"18:29","end":"19:55","startHours":18.480189070139854,"endHours":19.924093501961714,"quality":"neutral"},{"name":"Labha","start":"19:55","end":"21:22","startHours":19.924093501961714,"endHours":21.36799793378357,"quality":"auspicious"},{"name":"Amṛta","start":"21:22","end":"22:49","startHours":21.36799793378357,"endHours":22.811902365605427,"quality":"auspicious"},{"name":"Kāla","start":"22:49","end":"00:15","startHours":22.811902365605427,"endHours":24.255806797427287,"quality":"inauspicious"},{"name":"Śubha","start":"00:15","end":"01:42","startHours":24.255806797427287,"endHours":25.699711229249147,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"03:09","startHours":25.699711229249147,"endHours":27.143615661071003,"quality":"inauspicious"},{"name":"Udveg","start":"03:09","end":"04:35","startHours":27.143615661071003,"endHours":28.58752009289286,"quality":"inauspicious"},{"name":"Chala","start":"04:35","end":"06:02","startHours":28.58752009289286,"endHours":30.03142452471472,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"06:02","end":"07:02","startHours":6.031424524714718,"endHours":7.031424524714718,"planetary_lord":"Moon"},{"name":"Hora 2","start":"07:02","end":"08:02","startHours":7.031424524714718,"endHours":8.03142452471472,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"08:02","end":"09:02","startHours":8.03142452471472,"endHours":9.03142452471472,"planetary_lord":"Venus"},{"name":"Hora 4","start":"09:02","end":"10:02","startHours":9.03142452471472,"endHours":10.03142452471472,"planetary_lord":"Sun"},{"name":"Hora 5","start":"10:02","end":"11:02","startHours":10.03142452471472,"endHours":11.03142452471472,"planetary_lord":"Mars"},{"name":"Hora 6","start":"11:02","end":"12:02","startHours":11.03142452471472,"endHours":12.03142452471472,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"12:02","end":"13:02","startHours":12.03142452471472,"endHours":13.03142452471472,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"13:02","end":"14:02","startHours":13.03142452471472,"endHours":14.03142452471472,"planetary_lord":"Moon"},{"name":"Hora 9","start":"14:02","end":"15:02","startHours":14.03142452471472,"endHours":15.03142452471472,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"15:02","end":"16:02","startHours":15.03142452471472,"endHours":16.03142452471472,"planetary_lord":"Venus"},{"name":"Hora 11","start":"16:02","end":"17:02","startHours":16.03142452471472,"endHours":17.03142452471472,"planetary_lord":"Sun"},{"name":"Hora 12","start":"17:02","end":"18:02","startHours":17.03142452471472,"endHours":18.03142452471472,"planetary_lord":"Mars"},{"name":"Hora 13","start":"18:02","end":"19:02","startHours":18.03142452471472,"endHours":19.03142452471472,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"19:02","end":"20:02","startHours":19.03142452471472,"endHours":20.03142452471472,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"20:02","end":"21:02","startHours":20.03142452471472,"endHours":21.03142452471472,"planetary_lord":"Moon"},{"name":"Hora 16","start":"21:02","end":"22:02","startHours":21.03142452471472,"endHours":22.03142452471472,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"22:02","end":"23:02","startHours":22.03142452471472,"endHours":23.03142452471472,"planetary_lord":"Venus"},{"name":"Hora 18","start":"23:02","end":"00:02","startHours":23.03142452471472,"endHours":24.03142452471472,"planetary_lord":"Sun"},{"name":"Hora 19","start":"00:02","end":"01:02","startHours":24.03142452471472,"endHours":25.03142452471472,"planetary_lord":"Mars"},{"name":"Hora 20","start":"01:02","end":"02:02","startHours":25.03142452471472,"endHours":26.03142452471472,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"02:02","end":"03:02","startHours":26.03142452471472,"endHours":27.03142452471472,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"03:02","end":"04:02","startHours":27.03142452471472,"endHours":28.03142452471472,"planetary_lord":"Moon"},{"name":"Hora 23","start":"04:02","end":"05:02","startHours":28.03142452471472,"endHours":29.03142452471472,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"05:02","end":"06:02","startHours":29.03142452471472,"endHours":30.03142452471472,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Utpāta","quality":"Inauspicious"},"tropicalRitu":"Varṣā (Monsoon) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":4.627932362657756,"eotMinutes":4.014392154362758,"ayanamsa":25.4412}},"calendars":{"vikram_samvat":2170,"vikram_samvatsara":"Vyaya","saka_samvat":2035,"saka_samvatsara":"Śrīmukha","bengali_samvat":1520,"malayalam_era":1289,"nanakshahi_year":644,"lunar_month":"Bhādrapada","lunar_month_paksha_full":"Bhādrapada Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Bhādrapada","lunar_month_amanta":"Bhādrapada","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Siṃha (Āvaṇi)","ritu":"Varṣā (Monsoon)","display_summary":"Bhādrapada Śukla Dvitīyā · Vikram 2170 Vyaya · Śaka 2035 Śrīmukha"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 September 11, 2113 CE · Vṛndāvana · Vidhyamitra","description":"September 11, 2113 CE for Vṛndāvana: Śukla Dvitīyā, sūryodaya 06:02, sūryāsta 18:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2113-09-11","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2113-09-11","sa":"https://sa.vidhyamitra.com/city/vrindavan/2113-09-11","hi":"https://hi.vidhyamitra.com/city/vrindavan/2113-09-11","x-default":"https://vidhyamitra.com/city/vrindavan/2113-09-11"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T20:32:06.616Z","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":"2026-06-02T20:32:06.616Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T20:32:06.616Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}