{"id":"vidhyamitra:city-day:vrindavan:2181-09-26:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2181-09-26","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2181-09-26","date_display":"September 26, 2181 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":2181,"month":9,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517922.770833,"kali_year":5283,"ahargana":1929457.2708,"sun":{"sidereal_longitude":155.8825,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":14.5796,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.697,"elapsed_within_tithi_degrees":2.697},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.5796,"elapsed_within_degrees":1.2462},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.4621},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"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":2181,"month":9,"day":26,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2517922.770833,"ahargana":1929457.2708,"kali_year":5283,"ayanamsa_lahiri":26.3917,"grahas":{"sun":{"sidereal_longitude":157.06509099999994,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":13.843991000000017,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":-0.5098},"mars":{"sidereal_longitude":172.77649099999996,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":138.227691,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":131.267091,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":199.93839100000002,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":94.267991,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":1},"retrograde":false},"rahu":{"sidereal_longitude":188.0686,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":8.0686,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":3},"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":2181,"month":9,"day":26,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2517922.770833,"kali_year":5283,"ahargana":1929457.2708,"sun":{"sidereal_longitude":155.8825,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":14.5796,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":19,"name":"Caturthī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Caturthī","elongation_degrees":218.697,"elapsed_within_tithi_degrees":2.697},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1,"moon_longitude":14.5796,"elapsed_within_degrees":1.2462},"yoga":{"number":13,"name":"Vyāghāta","sum_longitude":170.4621},"karana":{"half_tithi_index":36,"name":"Bava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.51,"elongation":141.303},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.51,"opposition_distance":38.697}},"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":"06:09","sunsetLocal":"18:11","solarNoonLocal":"12:10","dayLengthHours":12.02965755618367,"dayLengthDisplay":"12 Hours 01 Mins 47 Secs","nightLengthDisplay":"11 Hours 58 Mins 13 Secs","moonriseLocal":"20:02","moonsetLocal":"09:12","rahuKala":{"name":"Rāhu Kāla","start":"12:10","end":"13:40","startHours":12.164448688580674,"endHours":13.668155883103633,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:39","end":"09:09","startHours":7.653327105011798,"endHours":9.157034299534757,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:40","end":"12:10","startHours":10.660741494057715,"endHours":12.164448688580674,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:57","end":"09:21","startHours":8.956540006931696,"endHours":9.357528592137818,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:39","end":"06:58","startHours":6.650855641996492,"endHours":6.97164651016139,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:46","end":"12:34","startHours":11.763460103374552,"endHours":12.565437273786795,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:33","end":"05:21","startHours":4.54566556966435,"endHours":5.347642740076594,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:09","end":"06:09","startHours":5.147148447473533,"endHours":6.149619910488839,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:10","end":"14:58","startHours":14.169391614611287,"endHours":14.971368785023532,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:59","end":"18:23","startHours":17.97927746667251,"endHours":18.37927746667251,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:11","end":"18:41","startHours":18.17927746667251,"endHours":18.68051319818016,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:56","end":"19:41","startHours":17.92927746667251,"endHours":19.67927746667251,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:46","end":"00:34","startHours":23.763460103374552,"endHours":24.565437273786795,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"06:09","end":"07:39","startHours":6.149619910488839,"endHours":7.653327105011798,"quality":"auspicious"},{"name":"Amṛta","start":"07:39","end":"09:09","startHours":7.653327105011798,"endHours":9.157034299534757,"quality":"auspicious"},{"name":"Kāla","start":"09:09","end":"10:40","startHours":9.157034299534757,"endHours":10.660741494057715,"quality":"inauspicious"},{"name":"Śubha","start":"10:40","end":"12:10","startHours":10.660741494057715,"endHours":12.164448688580674,"quality":"auspicious"},{"name":"Roga","start":"12:10","end":"13:40","startHours":12.164448688580674,"endHours":13.668155883103633,"quality":"inauspicious"},{"name":"Udveg","start":"13:40","end":"15:10","startHours":13.668155883103633,"endHours":15.171863077626591,"quality":"inauspicious"},{"name":"Chala","start":"15:10","end":"16:41","startHours":15.171863077626591,"endHours":16.67557027214955,"quality":"neutral"},{"name":"Labha","start":"16:41","end":"18:11","startHours":16.67557027214955,"endHours":18.17927746667251,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:11","end":"19:41","startHours":18.17927746667251,"endHours":19.67557027214955,"quality":"inauspicious"},{"name":"Chala","start":"19:41","end":"21:10","startHours":19.67557027214955,"endHours":21.171863077626593,"quality":"neutral"},{"name":"Labha","start":"21:10","end":"22:40","startHours":21.171863077626593,"endHours":22.668155883103633,"quality":"auspicious"},{"name":"Amṛta","start":"22:40","end":"00:10","startHours":22.668155883103633,"endHours":24.164448688580674,"quality":"auspicious"},{"name":"Kāla","start":"00:10","end":"01:40","startHours":24.164448688580674,"endHours":25.660741494057717,"quality":"inauspicious"},{"name":"Śubha","start":"01:40","end":"03:09","startHours":25.660741494057717,"endHours":27.157034299534757,"quality":"auspicious"},{"name":"Roga","start":"03:09","end":"04:39","startHours":27.157034299534757,"endHours":28.653327105011797,"quality":"inauspicious"},{"name":"Udveg","start":"04:39","end":"06:09","startHours":28.653327105011797,"endHours":30.149619910488838,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"06:09","end":"07:09","startHours":6.149619910488839,"endHours":7.149619910488839,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"07:09","end":"08:09","startHours":7.149619910488839,"endHours":8.14961991048884,"planetary_lord":"Venus"},{"name":"Hora 3","start":"08:09","end":"09:09","startHours":8.14961991048884,"endHours":9.14961991048884,"planetary_lord":"Sun"},{"name":"Hora 4","start":"09:09","end":"10:09","startHours":9.14961991048884,"endHours":10.14961991048884,"planetary_lord":"Mars"},{"name":"Hora 5","start":"10:09","end":"11:09","startHours":10.14961991048884,"endHours":11.14961991048884,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"11:09","end":"12:09","startHours":11.14961991048884,"endHours":12.14961991048884,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"12:09","end":"13:09","startHours":12.14961991048884,"endHours":13.14961991048884,"planetary_lord":"Moon"},{"name":"Hora 8","start":"13:09","end":"14:09","startHours":13.14961991048884,"endHours":14.14961991048884,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"14:09","end":"15:09","startHours":14.14961991048884,"endHours":15.14961991048884,"planetary_lord":"Venus"},{"name":"Hora 10","start":"15:09","end":"16:09","startHours":15.14961991048884,"endHours":16.149619910488838,"planetary_lord":"Sun"},{"name":"Hora 11","start":"16:09","end":"17:09","startHours":16.149619910488838,"endHours":17.149619910488838,"planetary_lord":"Mars"},{"name":"Hora 12","start":"17:09","end":"18:09","startHours":17.149619910488838,"endHours":18.149619910488838,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"18:09","end":"19:09","startHours":18.149619910488838,"endHours":19.149619910488838,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"19:09","end":"20:09","startHours":19.149619910488838,"endHours":20.149619910488838,"planetary_lord":"Moon"},{"name":"Hora 15","start":"20:09","end":"21:09","startHours":20.149619910488838,"endHours":21.149619910488838,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"21:09","end":"22:09","startHours":21.149619910488838,"endHours":22.149619910488838,"planetary_lord":"Venus"},{"name":"Hora 17","start":"22:09","end":"23:09","startHours":22.149619910488838,"endHours":23.149619910488838,"planetary_lord":"Sun"},{"name":"Hora 18","start":"23:09","end":"00:09","startHours":23.149619910488838,"endHours":24.149619910488838,"planetary_lord":"Mars"},{"name":"Hora 19","start":"00:09","end":"01:09","startHours":24.149619910488838,"endHours":25.149619910488838,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"01:09","end":"02:09","startHours":25.149619910488838,"endHours":26.149619910488838,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"02:09","end":"03:09","startHours":26.149619910488838,"endHours":27.149619910488838,"planetary_lord":"Moon"},{"name":"Hora 22","start":"03:09","end":"04:09","startHours":27.149619910488838,"endHours":28.149619910488838,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"04:09","end":"05:09","startHours":28.149619910488838,"endHours":29.149619910488838,"planetary_lord":"Venus"},{"name":"Hora 24","start":"05:09","end":"06:09","startHours":29.149619910488838,"endHours":30.149619910488838,"planetary_lord":"Sun"}],"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":["Meṣa","Mithuna","Kanyā","Tulā","Makara","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Karka","Siṃha","Vṛścika","Dhanu","Mīna"]},"dishaShool":"North (Uttara)","chandraVasa":"East","rahuVasa":"South-West","anandadiYoga":{"name":"Padma","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":-1.3741757921513347,"eotMinutes":9.49587868515961,"ayanamsa":26.3917}},"calendars":{"vikram_samvat":2238,"vikram_samvatsara":"Jaya","saka_samvat":2103,"saka_samvatsara":"Vṛṣa","bengali_samvat":1588,"malayalam_era":1357,"nanakshahi_year":712,"lunar_month":"Āśvina","lunar_month_paksha_full":"Āśvina Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āśvina","lunar_month_amanta":"Bhādrapada","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 Kṛṣṇa Caturthī · Vikram 2238 Jaya · Śaka 2103 Vṛṣa"},"festivals":[{"id":"sankashti-chaturthi","name":"Saṅkaṣṭī Caturthī","name_sanskrit":"सङ्कष्टी चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Gaṇeśa vrata.","vrata":true,"detection":{"tithi_number":19,"tithi_paksha":"Kṛṣṇa"},"precedence":6}],"todays_walk":{"walk":{"id":"budha-walk","name":"Budha Walk","name_sanskrit":"बुध यात्रा","type":"graha","description":"Discrimination + BG 2.41 (vyavasāyātmikā buddhi).","step_count":6,"url":"/walk/budha-walk"},"reason":"Budhavāra (Wednesday) — 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 26, 2181 CE · Vṛndāvana · Vidhyamitra","description":"September 26, 2181 CE for Vṛndāvana: Kṛṣṇa Caturthī, sūryodaya 06:09, sūryāsta 18:11.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2181-09-26","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2181-09-26","sa":"https://sa.vidhyamitra.com/city/vrindavan/2181-09-26","hi":"https://hi.vidhyamitra.com/city/vrindavan/2181-09-26","x-default":"https://vidhyamitra.com/city/vrindavan/2181-09-26"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T01:41:40.558Z","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":"2026-06-01T01:41:40.558Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T01:41:40.558Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}