{"id":"vidhyamitra:city-day:vrindavan:2163-07-14:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2163-07-14","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2163-07-14","date_display":"July 14, 2163 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":2163,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511273.770833,"kali_year":5265,"ahargana":1922808.2708,"sun":{"sidereal_longitude":84.6217,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":239.4507,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.829,"elapsed_within_tithi_degrees":10.829},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.4507,"elapsed_within_degrees":12.784},"yoga":{"number":25,"name":"Brahma","sum_longitude":324.0724},"karana":{"half_tithi_index":25,"name":"Taitila"},"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":2163,"month":7,"day":14,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511273.770833,"ahargana":1922808.2708,"kali_year":5265,"ayanamsa_lahiri":26.1374,"grahas":{"sun":{"sidereal_longitude":85.41963199999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":238.292232,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false,"latitude":3.8597},"mars":{"sidereal_longitude":355.975132,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"mercury":{"sidereal_longitude":108.17243199999996,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":292.363832,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":22,"name":"Śravaṇa","pada":4},"retrograde":true},"venus":{"sidereal_longitude":85.37103200000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"saturn":{"sidereal_longitude":221.79073199999993,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":17,"name":"Anurādhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":180.3646,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":0.3646,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"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":2163,"month":7,"day":14,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511273.770833,"kali_year":5265,"ahargana":1922808.2708,"sun":{"sidereal_longitude":84.6217,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":239.4507,"rashi":8,"rashi_name":"Vṛścika"},"tithi":{"number":13,"name":"Trayodaśī","paksha":"Śukla","full_name":"Śukla Trayodaśī","elongation_degrees":154.829,"elapsed_within_tithi_degrees":10.829},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4,"moon_longitude":239.4507,"elapsed_within_degrees":12.784},"yoga":{"number":25,"name":"Brahma","sum_longitude":324.0724},"karana":{"half_tithi_index":25,"name":"Taitila"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":3.86,"elongation":154.829},"lunar":{"type":"lunar","occurs":false,"moon_latitude":3.86,"opposition_distance":25.171}},"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":"05:33","sunsetLocal":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.737576642616407,"dayLengthDisplay":"13 Hours 44 Mins 15 Secs","nightLengthDisplay":"10 Hours 15 Mins 45 Secs","moonriseLocal":"17:25","moonsetLocal":"03:47","rahuKala":{"name":"Rāhu Kāla","start":"14:08","end":"15:51","startHours":14.131184188434375,"endHours":15.848381268761429,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:33","end":"07:16","startHours":5.545198786799122,"endHours":7.262395867126173,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"08:59","end":"10:42","startHours":8.979592947453224,"endHours":10.696790027780274,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.75063333674295,"endHours":9.208552558163497,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.117597813574806,"endHours":6.483933190711244,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.95606788668678,"endHours":12.871906329527873,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.713521901116934,"endHours":4.629360343958028,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:33","startHours":4.400400733247754,"endHours":5.545198786799122,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.70358321521006,"endHours":15.619421658051154,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.08277542941553,"endHours":19.48277542941553,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.28277542941553,"endHours":19.855174456191214,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.03277542941553,"endHours":20.78277542941553,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.95606788668678,"endHours":24.871906329527874,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"05:33","end":"07:16","startHours":5.545198786799122,"endHours":7.262395867126173,"quality":"auspicious"},{"name":"Roga","start":"07:16","end":"08:59","startHours":7.262395867126173,"endHours":8.979592947453224,"quality":"inauspicious"},{"name":"Udveg","start":"08:59","end":"10:42","startHours":8.979592947453224,"endHours":10.696790027780274,"quality":"inauspicious"},{"name":"Chala","start":"10:42","end":"12:25","startHours":10.696790027780274,"endHours":12.413987108107325,"quality":"neutral"},{"name":"Labha","start":"12:25","end":"14:08","startHours":12.413987108107325,"endHours":14.131184188434375,"quality":"auspicious"},{"name":"Amṛta","start":"14:08","end":"15:51","startHours":14.131184188434375,"endHours":15.848381268761429,"quality":"auspicious"},{"name":"Kāla","start":"15:51","end":"17:34","startHours":15.848381268761429,"endHours":17.56557834908848,"quality":"inauspicious"},{"name":"Śubha","start":"17:34","end":"19:17","startHours":17.56557834908848,"endHours":19.28277542941553,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"19:17","end":"20:34","startHours":19.28277542941553,"endHours":20.56557834908848,"quality":"auspicious"},{"name":"Kāla","start":"20:34","end":"21:51","startHours":20.56557834908848,"endHours":21.84838126876143,"quality":"inauspicious"},{"name":"Śubha","start":"21:51","end":"23:08","startHours":21.84838126876143,"endHours":23.13118418843438,"quality":"auspicious"},{"name":"Roga","start":"23:08","end":"00:25","startHours":23.13118418843438,"endHours":24.413987108107328,"quality":"inauspicious"},{"name":"Udveg","start":"00:25","end":"01:42","startHours":24.413987108107328,"endHours":25.696790027780274,"quality":"inauspicious"},{"name":"Chala","start":"01:42","end":"02:59","startHours":25.696790027780274,"endHours":26.979592947453224,"quality":"neutral"},{"name":"Labha","start":"02:59","end":"04:16","startHours":26.979592947453224,"endHours":28.262395867126173,"quality":"auspicious"},{"name":"Amṛta","start":"04:16","end":"05:33","startHours":28.262395867126173,"endHours":29.545198786799123,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.545198786799122,"endHours":6.545198786799122,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.545198786799122,"endHours":7.545198786799122,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.545198786799122,"endHours":8.545198786799123,"planetary_lord":"Moon"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.545198786799123,"endHours":9.545198786799123,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.545198786799123,"endHours":10.545198786799123,"planetary_lord":"Venus"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.545198786799123,"endHours":11.545198786799123,"planetary_lord":"Sun"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.545198786799123,"endHours":12.545198786799123,"planetary_lord":"Mars"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.545198786799123,"endHours":13.545198786799123,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.545198786799123,"endHours":14.545198786799123,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.545198786799123,"endHours":15.545198786799123,"planetary_lord":"Moon"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.545198786799123,"endHours":16.545198786799123,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.545198786799123,"endHours":17.545198786799123,"planetary_lord":"Venus"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.545198786799123,"endHours":18.545198786799123,"planetary_lord":"Sun"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.545198786799123,"endHours":19.545198786799123,"planetary_lord":"Mars"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.545198786799123,"endHours":20.545198786799123,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.545198786799123,"endHours":21.545198786799123,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.545198786799123,"endHours":22.545198786799123,"planetary_lord":"Moon"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.545198786799123,"endHours":23.545198786799123,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.545198786799123,"endHours":24.545198786799123,"planetary_lord":"Venus"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.545198786799123,"endHours":25.545198786799123,"planetary_lord":"Sun"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.545198786799123,"endHours":26.545198786799123,"planetary_lord":"Mars"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.545198786799123,"endHours":27.545198786799123,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.545198786799123,"endHours":28.545198786799123,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.545198786799123,"endHours":29.545198786799123,"planetary_lord":"Moon"}],"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":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Vṛścika","Makara"],"unfavorable_rashis":["Mithuna","Karka","Tulā","Dhanu","Kumbha","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"North-East","rahuVasa":"North-West","anandadiYoga":{"name":"Dhvānkṣa","quality":"Inauspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.71018943333892,"eotMinutes":-5.476426486439539,"ayanamsa":26.1374}},"calendars":{"vikram_samvat":2220,"vikram_samvatsara":"Dhātṛ","saka_samvat":2085,"saka_samvatsara":"Rudhirodgāri","bengali_samvat":1570,"malayalam_era":1339,"nanakshahi_year":694,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Āṣāḍha","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Trayodaśī · Vikram 2220 Dhātṛ · Śaka 2085 Rudhirodgāri"},"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":"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":[{"historical_date":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Jyeṣṭhā","url":"/day/-3137-10-20","relevance":0.5}]},"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 July 14, 2163 CE · Vṛndāvana · Vidhyamitra","description":"July 14, 2163 CE for Vṛndāvana: Śukla Trayodaśī, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2163-07-14","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2163-07-14","sa":"https://sa.vidhyamitra.com/city/vrindavan/2163-07-14","hi":"https://hi.vidhyamitra.com/city/vrindavan/2163-07-14","x-default":"https://vidhyamitra.com/city/vrindavan/2163-07-14"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T10:50:17.252Z","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":"2026-06-01T10:50:17.252Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T10:50:17.252Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}