{"id":"vidhyamitra:city-day:vrindavan:2168-11-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2168-11-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2168-11-13","date_display":"November 13, 2168 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":2168,"month":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513222.770833,"kali_year":5270,"ahargana":1924757.2708,"sun":{"sidereal_longitude":203.9824,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":352.9025,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.9201,"elapsed_within_tithi_degrees":4.9201},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":352.9025,"elapsed_within_degrees":6.2358},"yoga":{"number":15,"name":"Vajra","sum_longitude":196.8849},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2168,"month":11,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2513222.770833,"ahargana":1924757.2708,"kali_year":5270,"ayanamsa_lahiri":26.2119,"grahas":{"sun":{"sidereal_longitude":205.024266,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":354.060966,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false,"latitude":-4.4769},"mars":{"sidereal_longitude":225.30136600000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":219.43816600000002,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":108.96266600000001,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"venus":{"sidereal_longitude":249.141666,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":279.146966,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":77.0972,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":257.0972,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","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":2168,"month":11,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2513222.770833,"kali_year":5270,"ahargana":1924757.2708,"sun":{"sidereal_longitude":203.9824,"rashi":7,"rashi_name":"Tulā"},"moon":{"sidereal_longitude":352.9025,"rashi":12,"rashi_name":"Mīna"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":148.9201,"elapsed_within_tithi_degrees":4.9201},"nakshatra":{"number":27,"name":"Revatī","pada":2,"moon_longitude":352.9025,"elapsed_within_degrees":6.2358},"yoga":{"number":15,"name":"Vajra","sum_longitude":196.8849},"karana":{"half_tithi_index":24,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-4.477,"elongation":148.92},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-4.477,"opposition_distance":31.08}},"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":"06:39","sunsetLocal":"17:29","solarNoonLocal":"12:04","dayLengthHours":10.826294416998794,"dayLengthDisplay":"10 Hours 49 Mins 35 Secs","nightLengthDisplay":"13 Hours 10 Mins 25 Secs","moonriseLocal":"15:41","moonsetLocal":"04:20","rahuKala":{"name":"Rāhu Kāla","start":"16:08","end":"17:29","startHours":16.128243726133583,"endHours":17.481530528258432,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:04","end":"13:25","startHours":12.068383319759036,"endHours":13.421670121883885,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:46","end":"16:08","startHours":14.774956924008734,"endHours":16.128243726133583,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"09:11","end":"09:33","startHours":9.181371475226022,"endHours":9.54224795579265,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"07:06","end":"07:24","startHours":7.106331711967921,"endHours":7.395032896421222,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:42","end":"12:26","startHours":11.70750683919241,"endHours":12.429259800325662,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"05:13","end":"05:56","startHours":5.2117301889931325,"endHours":5.933483150126385,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"05:45","end":"06:39","startHours":5.753044909843072,"endHours":6.655236111259638,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"13:52","end":"14:36","startHours":13.872765722592167,"endHours":14.59451868372542,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"17:17","end":"17:41","startHours":17.281530528258433,"endHours":17.68153052825843,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"17:29","end":"17:56","startHours":17.481530528258432,"endHours":17.932626128966714,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"17:14","end":"18:59","startHours":17.231530528258432,"endHours":18.981530528258432,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:42","end":"00:26","startHours":23.70750683919241,"endHours":24.429259800325664,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"06:39","end":"08:01","startHours":6.655236111259638,"endHours":8.008522913384487,"quality":"inauspicious"},{"name":"Chala","start":"08:01","end":"09:22","startHours":8.008522913384487,"endHours":9.361809715509336,"quality":"neutral"},{"name":"Labha","start":"09:22","end":"10:43","startHours":9.361809715509336,"endHours":10.715096517634187,"quality":"auspicious"},{"name":"Amṛta","start":"10:43","end":"12:04","startHours":10.715096517634187,"endHours":12.068383319759036,"quality":"auspicious"},{"name":"Kāla","start":"12:04","end":"13:25","startHours":12.068383319759036,"endHours":13.421670121883885,"quality":"inauspicious"},{"name":"Śubha","start":"13:25","end":"14:46","startHours":13.421670121883885,"endHours":14.774956924008734,"quality":"auspicious"},{"name":"Roga","start":"14:46","end":"16:08","startHours":14.774956924008734,"endHours":16.128243726133583,"quality":"inauspicious"},{"name":"Udveg","start":"16:08","end":"17:29","startHours":16.128243726133583,"endHours":17.481530528258432,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"17:29","end":"19:08","startHours":17.481530528258432,"endHours":19.128243726133583,"quality":"auspicious"},{"name":"Roga","start":"19:08","end":"20:46","startHours":19.128243726133583,"endHours":20.774956924008734,"quality":"inauspicious"},{"name":"Udveg","start":"20:46","end":"22:25","startHours":20.774956924008734,"endHours":22.421670121883885,"quality":"inauspicious"},{"name":"Chala","start":"22:25","end":"00:04","startHours":22.421670121883885,"endHours":24.068383319759036,"quality":"neutral"},{"name":"Labha","start":"00:04","end":"01:43","startHours":24.068383319759036,"endHours":25.715096517634187,"quality":"auspicious"},{"name":"Amṛta","start":"01:43","end":"03:22","startHours":25.715096517634187,"endHours":27.361809715509338,"quality":"auspicious"},{"name":"Kāla","start":"03:22","end":"05:01","startHours":27.361809715509338,"endHours":29.00852291338449,"quality":"inauspicious"},{"name":"Śubha","start":"05:01","end":"06:39","startHours":29.00852291338449,"endHours":30.65523611125964,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"06:39","end":"07:39","startHours":6.655236111259638,"endHours":7.655236111259638,"planetary_lord":"Sun"},{"name":"Hora 2","start":"07:39","end":"08:39","startHours":7.655236111259638,"endHours":8.655236111259638,"planetary_lord":"Mars"},{"name":"Hora 3","start":"08:39","end":"09:39","startHours":8.655236111259638,"endHours":9.655236111259638,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"09:39","end":"10:39","startHours":9.655236111259638,"endHours":10.655236111259638,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"10:39","end":"11:39","startHours":10.655236111259638,"endHours":11.655236111259638,"planetary_lord":"Moon"},{"name":"Hora 6","start":"11:39","end":"12:39","startHours":11.655236111259638,"endHours":12.655236111259638,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"12:39","end":"13:39","startHours":12.655236111259638,"endHours":13.655236111259638,"planetary_lord":"Venus"},{"name":"Hora 8","start":"13:39","end":"14:39","startHours":13.655236111259638,"endHours":14.655236111259638,"planetary_lord":"Sun"},{"name":"Hora 9","start":"14:39","end":"15:39","startHours":14.655236111259638,"endHours":15.655236111259638,"planetary_lord":"Mars"},{"name":"Hora 10","start":"15:39","end":"16:39","startHours":15.655236111259638,"endHours":16.65523611125964,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"16:39","end":"17:39","startHours":16.65523611125964,"endHours":17.65523611125964,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"17:39","end":"18:39","startHours":17.65523611125964,"endHours":18.65523611125964,"planetary_lord":"Moon"},{"name":"Hora 13","start":"18:39","end":"19:39","startHours":18.65523611125964,"endHours":19.65523611125964,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"19:39","end":"20:39","startHours":19.65523611125964,"endHours":20.65523611125964,"planetary_lord":"Venus"},{"name":"Hora 15","start":"20:39","end":"21:39","startHours":20.65523611125964,"endHours":21.65523611125964,"planetary_lord":"Sun"},{"name":"Hora 16","start":"21:39","end":"22:39","startHours":21.65523611125964,"endHours":22.65523611125964,"planetary_lord":"Mars"},{"name":"Hora 17","start":"22:39","end":"23:39","startHours":22.65523611125964,"endHours":23.65523611125964,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"23:39","end":"00:39","startHours":23.65523611125964,"endHours":24.65523611125964,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"00:39","end":"01:39","startHours":24.65523611125964,"endHours":25.65523611125964,"planetary_lord":"Moon"},{"name":"Hora 20","start":"01:39","end":"02:39","startHours":25.65523611125964,"endHours":26.65523611125964,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"02:39","end":"03:39","startHours":26.65523611125964,"endHours":27.65523611125964,"planetary_lord":"Venus"},{"name":"Hora 22","start":"03:39","end":"04:39","startHours":27.65523611125964,"endHours":28.65523611125964,"planetary_lord":"Sun"},{"name":"Hora 23","start":"04:39","end":"05:39","startHours":28.65523611125964,"endHours":29.65523611125964,"planetary_lord":"Mars"},{"name":"Hora 24","start":"05:39","end":"06:39","startHours":29.65523611125964,"endHours":30.65523611125964,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"unfavorable_nakshatras":["Ārdrā","Punarvasu","Puṣya","Aśleṣā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Siṃha","Kanyā","Dhanu","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Karka","Tulā","Vṛścika","Kumbha"]},"dishaShool":"West (Paścim)","chandraVasa":"South-West","rahuVasa":"North-East","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Śarad (Autumn) (tropical)","vedicRitu":"Śarad (Autumn)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-18.066779226839195,"eotMinutes":15.25980081445791,"ayanamsa":26.2119}},"calendars":{"vikram_samvat":2225,"vikram_samvatsara":"Vṛṣa","saka_samvat":2090,"saka_samvatsara":"Vibhava","bengali_samvat":1575,"malayalam_era":1344,"nanakshahi_year":699,"lunar_month":"Kārtika","lunar_month_paksha_full":"Kārtika Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Kārtika","lunar_month_amanta":"Kārtika","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Tulā (Aippasi)","ritu":"Śarad (Autumn)","display_summary":"Kārtika Śukla Trayodaśī · Vikram 2225 Vṛṣa · Śaka 2090 Vibhava"},"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":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 November 13, 2168 CE · Vṛndāvana · Vidhyamitra","description":"November 13, 2168 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 06:39, sūryāsta 17:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2168-11-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2168-11-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2168-11-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2168-11-13","x-default":"https://vidhyamitra.com/city/vrindavan/2168-11-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T18:46:50.204Z","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":"2026-05-31T18:46:50.204Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T18:46:50.204Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}