{"id":"vidhyamitra:city-day:vrindavan:2174-10-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2174-10-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2174-10-13","date_display":"October 13, 2174 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":2174,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515382.770833,"kali_year":5276,"ahargana":1926917.2708,"sun":{"sidereal_longitude":172.4179,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":24.6525,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.2346,"elapsed_within_tithi_degrees":8.2346},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.6525,"elapsed_within_degrees":11.3192},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.0704},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2174,"month":10,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2515382.770833,"ahargana":1926917.2708,"kali_year":5276,"ayanamsa_lahiri":26.2946,"grahas":{"sun":{"sidereal_longitude":173.582538,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","pada":1},"retrograde":false},"moon":{"sidereal_longitude":26.631737999999984,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false,"latitude":3.9725},"mars":{"sidereal_longitude":254.56833800000004,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":161.45783800000004,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":255.75563799999998,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":180.12183800000003,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":355.715338,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":322.65,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":142.65,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","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":2174,"month":10,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2515382.770833,"kali_year":5276,"ahargana":1926917.2708,"sun":{"sidereal_longitude":172.4179,"rashi":6,"rashi_name":"Kanyā"},"moon":{"sidereal_longitude":24.6525,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":18,"name":"Tṛtīyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Tṛtīyā","elongation_degrees":212.2346,"elapsed_within_tithi_degrees":8.2346},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4,"moon_longitude":24.6525,"elapsed_within_degrees":11.3192},"yoga":{"number":15,"name":"Vajra","sum_longitude":197.0704},"karana":{"half_tithi_index":35,"name":"Viṣṭi"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.972,"elongation":147.765},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.972,"opposition_distance":32.235}},"eclipse_window_40days":[{"offset_days":-17,"type":"solar","occurs":true,"moon_latitude":-0.965,"elongation":0.244}]},"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":"06:17","sunsetLocal":"17:52","solarNoonLocal":"12:05","dayLengthHours":11.581955940042219,"dayLengthDisplay":"11 Hours 34 Mins 55 Secs","nightLengthDisplay":"12 Hours 25 Mins 05 Secs","moonriseLocal":"19:34","moonsetLocal":"09:00","rahuKala":{"name":"Rāhu Kāla","start":"13:32","end":"14:59","startHours":13.529750672370689,"endHours":14.977495164875965,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"06:17","end":"07:44","startHours":6.291028209844301,"endHours":7.7387727023495785,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"09:11","end":"10:38","startHours":9.186517194854856,"endHours":10.634261687360134,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:00","end":"09:23","startHours":8.993484595854152,"endHours":9.37954979385556,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:46","end":"07:05","startHours":6.77360970734606,"endHours":7.082461865747186,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:28","startHours":11.695940981864002,"endHours":12.468071377866817,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"04:45","end":"05:31","startHours":4.746767417838671,"endHours":5.518897813841487,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:20","end":"06:17","startHours":5.325865214840783,"endHours":6.291028209844301,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:01","end":"14:47","startHours":14.012332169872447,"endHours":14.784462565875263,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:40","end":"18:04","startHours":17.67298414988652,"endHours":18.07298414988652,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:52","end":"18:21","startHours":17.87298414988652,"endHours":18.35556564738828,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:37","end":"19:22","startHours":17.62298414988652,"endHours":19.37298414988652,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:28","startHours":23.695940981864002,"endHours":24.468071377866817,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"06:17","end":"07:44","startHours":6.291028209844301,"endHours":7.7387727023495785,"quality":"auspicious"},{"name":"Roga","start":"07:44","end":"09:11","startHours":7.7387727023495785,"endHours":9.186517194854856,"quality":"inauspicious"},{"name":"Udveg","start":"09:11","end":"10:38","startHours":9.186517194854856,"endHours":10.634261687360134,"quality":"inauspicious"},{"name":"Chala","start":"10:38","end":"12:05","startHours":10.634261687360134,"endHours":12.08200617986541,"quality":"neutral"},{"name":"Labha","start":"12:05","end":"13:32","startHours":12.08200617986541,"endHours":13.529750672370689,"quality":"auspicious"},{"name":"Amṛta","start":"13:32","end":"14:59","startHours":13.529750672370689,"endHours":14.977495164875965,"quality":"auspicious"},{"name":"Kāla","start":"14:59","end":"16:26","startHours":14.977495164875965,"endHours":16.42523965738124,"quality":"inauspicious"},{"name":"Śubha","start":"16:26","end":"17:52","startHours":16.42523965738124,"endHours":17.87298414988652,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"17:52","end":"19:26","startHours":17.87298414988652,"endHours":19.425239657381244,"quality":"auspicious"},{"name":"Kāla","start":"19:26","end":"20:59","startHours":19.425239657381244,"endHours":20.977495164875965,"quality":"inauspicious"},{"name":"Śubha","start":"20:59","end":"22:32","startHours":20.977495164875965,"endHours":22.52975067237069,"quality":"auspicious"},{"name":"Roga","start":"22:32","end":"00:05","startHours":22.52975067237069,"endHours":24.08200617986541,"quality":"inauspicious"},{"name":"Udveg","start":"00:05","end":"01:38","startHours":24.08200617986541,"endHours":25.634261687360134,"quality":"inauspicious"},{"name":"Chala","start":"01:38","end":"03:11","startHours":25.634261687360134,"endHours":27.186517194854858,"quality":"neutral"},{"name":"Labha","start":"03:11","end":"04:44","startHours":27.186517194854858,"endHours":28.73877270234958,"quality":"auspicious"},{"name":"Amṛta","start":"04:44","end":"06:17","startHours":28.73877270234958,"endHours":30.2910282098443,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:17","end":"07:17","startHours":6.291028209844301,"endHours":7.291028209844301,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"07:17","end":"08:17","startHours":7.291028209844301,"endHours":8.291028209844301,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"08:17","end":"09:17","startHours":8.291028209844301,"endHours":9.291028209844301,"planetary_lord":"Moon"},{"name":"Hora 4","start":"09:17","end":"10:17","startHours":9.291028209844301,"endHours":10.291028209844301,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"10:17","end":"11:17","startHours":10.291028209844301,"endHours":11.291028209844301,"planetary_lord":"Venus"},{"name":"Hora 6","start":"11:17","end":"12:17","startHours":11.291028209844301,"endHours":12.291028209844301,"planetary_lord":"Sun"},{"name":"Hora 7","start":"12:17","end":"13:17","startHours":12.291028209844301,"endHours":13.291028209844301,"planetary_lord":"Mars"},{"name":"Hora 8","start":"13:17","end":"14:17","startHours":13.291028209844301,"endHours":14.291028209844301,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"14:17","end":"15:17","startHours":14.291028209844301,"endHours":15.291028209844301,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"15:17","end":"16:17","startHours":15.291028209844301,"endHours":16.2910282098443,"planetary_lord":"Moon"},{"name":"Hora 11","start":"16:17","end":"17:17","startHours":16.2910282098443,"endHours":17.2910282098443,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"17:17","end":"18:17","startHours":17.2910282098443,"endHours":18.2910282098443,"planetary_lord":"Venus"},{"name":"Hora 13","start":"18:17","end":"19:17","startHours":18.2910282098443,"endHours":19.2910282098443,"planetary_lord":"Sun"},{"name":"Hora 14","start":"19:17","end":"20:17","startHours":19.2910282098443,"endHours":20.2910282098443,"planetary_lord":"Mars"},{"name":"Hora 15","start":"20:17","end":"21:17","startHours":20.2910282098443,"endHours":21.2910282098443,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"21:17","end":"22:17","startHours":21.2910282098443,"endHours":22.2910282098443,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"22:17","end":"23:17","startHours":22.2910282098443,"endHours":23.2910282098443,"planetary_lord":"Moon"},{"name":"Hora 18","start":"23:17","end":"00:17","startHours":23.2910282098443,"endHours":24.2910282098443,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"00:17","end":"01:17","startHours":24.2910282098443,"endHours":25.2910282098443,"planetary_lord":"Venus"},{"name":"Hora 20","start":"01:17","end":"02:17","startHours":25.2910282098443,"endHours":26.2910282098443,"planetary_lord":"Sun"},{"name":"Hora 21","start":"02:17","end":"03:17","startHours":26.2910282098443,"endHours":27.2910282098443,"planetary_lord":"Mars"},{"name":"Hora 22","start":"03:17","end":"04:17","startHours":27.2910282098443,"endHours":28.2910282098443,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"04:17","end":"05:17","startHours":28.2910282098443,"endHours":29.2910282098443,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"05:17","end":"06:17","startHours":29.2910282098443,"endHours":30.2910282098443,"planetary_lord":"Moon"}],"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":"South (Dakṣiṇa)","chandraVasa":"East","rahuVasa":"North-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Varṣā (Monsoon)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-7.771963815610246,"eotMinutes":14.442429208075392,"ayanamsa":26.2946}},"calendars":{"vikram_samvat":2231,"vikram_samvatsara":"Sarvajit","saka_samvat":2096,"saka_samvatsara":"Bhāva","bengali_samvat":1581,"malayalam_era":1350,"nanakshahi_year":705,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","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":"Kārtika Kṛṣṇa Tṛtīyā · Vikram 2231 Sarvajit · Śaka 2096 Bhāva"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — 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 13, 2174 CE · Vṛndāvana · Vidhyamitra","description":"October 13, 2174 CE for Vṛndāvana: Kṛṣṇa Tṛtīyā, sūryodaya 06:17, sūryāsta 17:52.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2174-10-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2174-10-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2174-10-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2174-10-13","x-default":"https://vidhyamitra.com/city/vrindavan/2174-10-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T02:40:07.529Z","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":"2026-05-31T02:40:07.529Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T02:40:07.529Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}