{"id":"vidhyamitra:city-day:vrindavan:2167-05-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2167-05-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2167-05-13","date_display":"May 13, 2167 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":2167,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512672.770833,"kali_year":5269,"ahargana":1924207.2708,"sun":{"sidereal_longitude":25.6451,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":308.227,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":282.5819,"elapsed_within_tithi_degrees":6.5819},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.227,"elapsed_within_degrees":1.5603},"yoga":{"number":26,"name":"Indra","sum_longitude":333.8722},"karana":{"half_tithi_index":47,"name":"Gara"},"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":2167,"month":5,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512672.770833,"ahargana":1924207.2708,"kali_year":5269,"ayanamsa_lahiri":26.1909,"grahas":{"sun":{"sidereal_longitude":26.027679999999975,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":4},"retrograde":false},"moon":{"sidereal_longitude":305.08328000000006,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":-1.6834},"mars":{"sidereal_longitude":349.04958,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":29.663779999999974,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":1},"retrograde":true},"jupiter":{"sidereal_longitude":47.77478000000002,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"venus":{"sidereal_longitude":67.75707999999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":273.22808,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":106.2389,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":286.2389,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","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":2167,"month":5,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512672.770833,"kali_year":5269,"ahargana":1924207.2708,"sun":{"sidereal_longitude":25.6451,"rashi":1,"rashi_name":"Meṣa"},"moon":{"sidereal_longitude":308.227,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":282.5819,"elapsed_within_tithi_degrees":6.5819},"nakshatra":{"number":24,"name":"Śatabhiṣā","pada":1,"moon_longitude":308.227,"elapsed_within_degrees":1.5603},"yoga":{"number":26,"name":"Indra","sum_longitude":333.8722},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-1.683,"elongation":77.418},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-1.683,"opposition_distance":102.582}},"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":"05:32","sunsetLocal":"18:59","solarNoonLocal":"12:16","dayLengthHours":13.461393319491016,"dayLengthDisplay":"13 Hours 27 Mins 41 Secs","nightLengthDisplay":"10 Hours 32 Mins 19 Secs","moonriseLocal":"01:12","moonsetLocal":"12:31","rahuKala":{"name":"Rāhu Kāla","start":"12:16","end":"13:57","startHours":12.260156020940727,"endHours":13.942830185877103,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:13","end":"08:54","startHours":7.212133526131595,"endHours":8.894807691067971,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:35","end":"12:16","startHours":10.577481856004349,"endHours":12.260156020940727,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:40","end":"09:07","startHours":8.670451135743122,"endHours":9.119164246392822,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:05","end":"06:27","startHours":6.090350749507343,"endHours":6.449321238027103,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:49","end":"12:43","startHours":11.811442910291026,"endHours":12.708869131590427,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:38","startHours":3.7346069185964157,"endHours":4.6320331398958166,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:32","startHours":4.407676584570966,"endHours":5.529459361195218,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:30","end":"15:24","startHours":14.503721574189228,"endHours":15.40114779548863,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"18:47","end":"19:11","startHours":18.790852680686235,"endHours":19.190852680686234,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"18:59","end":"19:33","startHours":18.990852680686235,"endHours":19.55174406899836,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"18:44","end":"20:29","startHours":18.740852680686235,"endHours":20.490852680686235,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:49","end":"00:43","startHours":23.811442910291028,"endHours":24.708869131590426,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:32","end":"07:13","startHours":5.529459361195218,"endHours":7.212133526131595,"quality":"auspicious"},{"name":"Amṛta","start":"07:13","end":"08:54","startHours":7.212133526131595,"endHours":8.894807691067971,"quality":"auspicious"},{"name":"Kāla","start":"08:54","end":"10:35","startHours":8.894807691067971,"endHours":10.577481856004349,"quality":"inauspicious"},{"name":"Śubha","start":"10:35","end":"12:16","startHours":10.577481856004349,"endHours":12.260156020940727,"quality":"auspicious"},{"name":"Roga","start":"12:16","end":"13:57","startHours":12.260156020940727,"endHours":13.942830185877103,"quality":"inauspicious"},{"name":"Udveg","start":"13:57","end":"15:38","startHours":13.942830185877103,"endHours":15.625504350813479,"quality":"inauspicious"},{"name":"Chala","start":"15:38","end":"17:18","startHours":15.625504350813479,"endHours":17.30817851574986,"quality":"neutral"},{"name":"Labha","start":"17:18","end":"18:59","startHours":17.30817851574986,"endHours":18.990852680686235,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"18:59","end":"20:18","startHours":18.990852680686235,"endHours":20.30817851574986,"quality":"inauspicious"},{"name":"Chala","start":"20:18","end":"21:38","startHours":20.30817851574986,"endHours":21.62550435081348,"quality":"neutral"},{"name":"Labha","start":"21:38","end":"22:57","startHours":21.62550435081348,"endHours":22.942830185877103,"quality":"auspicious"},{"name":"Amṛta","start":"22:57","end":"00:16","startHours":22.942830185877103,"endHours":24.260156020940727,"quality":"auspicious"},{"name":"Kāla","start":"00:16","end":"01:35","startHours":24.260156020940727,"endHours":25.57748185600435,"quality":"inauspicious"},{"name":"Śubha","start":"01:35","end":"02:54","startHours":25.57748185600435,"endHours":26.894807691067975,"quality":"auspicious"},{"name":"Roga","start":"02:54","end":"04:13","startHours":26.894807691067975,"endHours":28.212133526131595,"quality":"inauspicious"},{"name":"Udveg","start":"04:13","end":"05:32","startHours":28.212133526131595,"endHours":29.52945936119522,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.529459361195218,"endHours":6.529459361195218,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.529459361195218,"endHours":7.529459361195218,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.529459361195218,"endHours":8.529459361195219,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.529459361195219,"endHours":9.529459361195219,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.529459361195219,"endHours":10.529459361195219,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.529459361195219,"endHours":11.529459361195219,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.529459361195219,"endHours":12.529459361195219,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.529459361195219,"endHours":13.529459361195219,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.529459361195219,"endHours":14.529459361195219,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.529459361195219,"endHours":15.529459361195219,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.529459361195219,"endHours":16.52945936119522,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.52945936119522,"endHours":17.52945936119522,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.52945936119522,"endHours":18.52945936119522,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.52945936119522,"endHours":19.52945936119522,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.52945936119522,"endHours":20.52945936119522,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.52945936119522,"endHours":21.52945936119522,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.52945936119522,"endHours":22.52945936119522,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.52945936119522,"endHours":23.52945936119522,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.52945936119522,"endHours":24.52945936119522,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.52945936119522,"endHours":25.52945936119522,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.52945936119522,"endHours":26.52945936119522,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.52945936119522,"endHours":27.52945936119522,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.52945936119522,"endHours":28.52945936119522,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.52945936119522,"endHours":29.52945936119522,"planetary_lord":"Sun"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Bharaṇī","Punarvasu","Puṣya","Aśleṣā","Maghā","Pūrva Phalgunī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Uttara Phalgunī","Hasta","Citrā","Svātī","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"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":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Śrīvatsa","quality":"Auspicious"},"tropicalRitu":"Vasanta (Spring) (tropical)","vedicRitu":"Vasanta (Spring)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":18.321538068125932,"eotMinutes":3.7534387435564067,"ayanamsa":26.1909}},"calendars":{"vikram_samvat":2224,"vikram_samvatsara":"Vikrama","saka_samvat":2089,"saka_samvatsara":"Prabhava","bengali_samvat":1574,"malayalam_era":1343,"nanakshahi_year":698,"lunar_month":"Jyeṣṭha","lunar_month_paksha_full":"Jyeṣṭha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Jyeṣṭha","lunar_month_amanta":"Vaiśākha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mēsha (Cittirai / Vaiśākhī)","ritu":"Grīṣma (Summer)","display_summary":"Jyeṣṭha Kṛṣṇa Navamī · Vikram 2224 Vikrama · Śaka 2089 Prabhava"},"festivals":[],"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 May 13, 2167 CE · Vṛndāvana · Vidhyamitra","description":"May 13, 2167 CE for Vṛndāvana: Kṛṣṇa Navamī, sūryodaya 05:32, sūryāsta 18:59.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2167-05-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2167-05-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2167-05-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2167-05-13","x-default":"https://vidhyamitra.com/city/vrindavan/2167-05-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T21:19:19.251Z","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":"2026-06-01T21:19:19.251Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T21:19:19.251Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}