{"id":"vidhyamitra:city-day:vrindavan:2164-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2164-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2164-07-13","date_display":"July 13, 2164 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":2164,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511638.770833,"kali_year":5266,"ahargana":1923173.2708,"sun":{"sidereal_longitude":84.3767,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":12.0316,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.6549,"elapsed_within_tithi_degrees":11.6549},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.0316,"elapsed_within_degrees":12.0316},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.4083},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"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":2164,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2511638.770833,"ahargana":1923173.2708,"kali_year":5266,"ayanamsa_lahiri":26.1514,"grahas":{"sun":{"sidereal_longitude":85.17478600000004,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":15.354385999999977,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":1},"retrograde":false,"latitude":-2.3164},"mars":{"sidereal_longitude":118.07918599999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":87.367886,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":330.06328600000006,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"venus":{"sidereal_longitude":37.49908599999998,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":3,"name":"Kṛttikā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":233.805886,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":161.0252,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":341.0252,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","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":2164,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2511638.770833,"kali_year":5266,"ahargana":1923173.2708,"sun":{"sidereal_longitude":84.3767,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":12.0316,"rashi":1,"rashi_name":"Meṣa"},"tithi":{"number":24,"name":"Navamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Navamī","elongation_degrees":287.6549,"elapsed_within_tithi_degrees":11.6549},"nakshatra":{"number":1,"name":"Aśvinī","pada":4,"moon_longitude":12.0316,"elapsed_within_degrees":12.0316},"yoga":{"number":8,"name":"Dhṛti","sum_longitude":96.4083},"karana":{"half_tithi_index":47,"name":"Gara"},"vara":{"number":0,"name":"Śukravāra (Friday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.316,"elongation":72.345},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.316,"opposition_distance":107.655}},"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":13.740602699904855,"dayLengthDisplay":"13 Hours 44 Mins 26 Secs","nightLengthDisplay":"10 Hours 15 Mins 34 Secs","moonriseLocal":"01:10","moonsetLocal":"14:21","rahuKala":{"name":"Rāhu Kāla","start":"10:42","end":"12:25","startHours":10.694495143281237,"endHours":12.412070480769344,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"15:51","end":"17:34","startHours":15.847221155745558,"endHours":17.564796493233665,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:16","end":"08:59","startHours":7.259344468305024,"endHours":8.97691980579313,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.747909760794716,"endHours":9.205929850791545,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.114294243312952,"endHours":6.480710315310415,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.954050390772515,"endHours":12.870090570766173,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:43","end":"04:38","startHours":3.7096887708296027,"endHours":4.62572895082326,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:33","startHours":4.396718905824846,"endHours":5.541769130816917,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.702170930753486,"endHours":15.618211110747142,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.082371830721772,"endHours":19.48237183072177,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.28237183072177,"endHours":19.854896943217806,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.03237183072177,"endHours":20.78237183072177,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.954050390772515,"endHours":24.870090570766173,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Chala","start":"05:33","end":"07:16","startHours":5.541769130816917,"endHours":7.259344468305024,"quality":"neutral"},{"name":"Labha","start":"07:16","end":"08:59","startHours":7.259344468305024,"endHours":8.97691980579313,"quality":"auspicious"},{"name":"Amṛta","start":"08:59","end":"10:42","startHours":8.97691980579313,"endHours":10.694495143281237,"quality":"auspicious"},{"name":"Kāla","start":"10:42","end":"12:25","startHours":10.694495143281237,"endHours":12.412070480769344,"quality":"inauspicious"},{"name":"Śubha","start":"12:25","end":"14:08","startHours":12.412070480769344,"endHours":14.129645818257451,"quality":"auspicious"},{"name":"Roga","start":"14:08","end":"15:51","startHours":14.129645818257451,"endHours":15.847221155745558,"quality":"inauspicious"},{"name":"Udveg","start":"15:51","end":"17:34","startHours":15.847221155745558,"endHours":17.564796493233665,"quality":"inauspicious"},{"name":"Chala","start":"17:34","end":"19:17","startHours":17.564796493233665,"endHours":19.28237183072177,"quality":"neutral"}],"nightChoghadiyas":[{"name":"Roga","start":"19:17","end":"20:34","startHours":19.28237183072177,"endHours":20.564796493233665,"quality":"inauspicious"},{"name":"Udveg","start":"20:34","end":"21:51","startHours":20.564796493233665,"endHours":21.847221155745558,"quality":"inauspicious"},{"name":"Chala","start":"21:51","end":"23:08","startHours":21.847221155745558,"endHours":23.12964581825745,"quality":"neutral"},{"name":"Labha","start":"23:08","end":"00:25","startHours":23.12964581825745,"endHours":24.412070480769344,"quality":"auspicious"},{"name":"Amṛta","start":"00:25","end":"01:42","startHours":24.412070480769344,"endHours":25.694495143281237,"quality":"auspicious"},{"name":"Kāla","start":"01:42","end":"02:59","startHours":25.694495143281237,"endHours":26.97691980579313,"quality":"inauspicious"},{"name":"Śubha","start":"02:59","end":"04:16","startHours":26.97691980579313,"endHours":28.259344468305024,"quality":"auspicious"},{"name":"Roga","start":"04:16","end":"05:33","startHours":28.259344468305024,"endHours":29.541769130816917,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.541769130816917,"endHours":6.541769130816917,"planetary_lord":"Venus"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.541769130816917,"endHours":7.541769130816917,"planetary_lord":"Sun"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.541769130816917,"endHours":8.541769130816917,"planetary_lord":"Mars"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.541769130816917,"endHours":9.541769130816917,"planetary_lord":"Jupiter"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.541769130816917,"endHours":10.541769130816917,"planetary_lord":"Saturn"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.541769130816917,"endHours":11.541769130816917,"planetary_lord":"Moon"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.541769130816917,"endHours":12.541769130816917,"planetary_lord":"Mercury"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.541769130816917,"endHours":13.541769130816917,"planetary_lord":"Venus"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.541769130816917,"endHours":14.541769130816917,"planetary_lord":"Sun"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.541769130816917,"endHours":15.541769130816917,"planetary_lord":"Mars"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.541769130816917,"endHours":16.541769130816917,"planetary_lord":"Jupiter"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.541769130816917,"endHours":17.541769130816917,"planetary_lord":"Saturn"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.541769130816917,"endHours":18.541769130816917,"planetary_lord":"Moon"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.541769130816917,"endHours":19.541769130816917,"planetary_lord":"Mercury"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.541769130816917,"endHours":20.541769130816917,"planetary_lord":"Venus"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.541769130816917,"endHours":21.541769130816917,"planetary_lord":"Sun"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.541769130816917,"endHours":22.541769130816917,"planetary_lord":"Mars"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.541769130816917,"endHours":23.541769130816917,"planetary_lord":"Jupiter"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.541769130816917,"endHours":24.541769130816917,"planetary_lord":"Saturn"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.541769130816917,"endHours":25.541769130816917,"planetary_lord":"Moon"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.541769130816917,"endHours":26.541769130816917,"planetary_lord":"Mercury"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.541769130816917,"endHours":27.541769130816917,"planetary_lord":"Venus"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.541769130816917,"endHours":28.541769130816917,"planetary_lord":"Sun"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.541769130816917,"endHours":29.541769130816917,"planetary_lord":"Mars"}],"taraBala":{"favorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Ārdrā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Svātī","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj"],"unfavorable_nakshatras":["Aśvinī","Punarvasu","Puṣya","Aśleṣā","Maghā","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Pūrva Bhādrapadā","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":"West (Paścim)","chandraVasa":"East","rahuVasa":"South-East","anandadiYoga":{"name":"Amṛta","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer) (tropical)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":21.74631967471644,"eotMinutes":-5.361428846160681,"ayanamsa":26.1514}},"calendars":{"vikram_samvat":2221,"vikram_samvatsara":"Īśvara","saka_samvat":2086,"saka_samvatsara":"Raktākṣī","bengali_samvat":1571,"malayalam_era":1340,"nanakshahi_year":695,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Śrāvaṇa","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":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Navamī · Vikram 2221 Īśvara · Śaka 2086 Raktākṣī"},"festivals":[],"todays_walk":{"walk":{"id":"shukra-walk","name":"Śukra Walk","name_sanskrit":"शुक्र यात्रा","type":"graha","description":"Beauty + creativity in dharma + BG 10.36.","step_count":5,"url":"/walk/shukra-walk"},"reason":"Śukravāra (Friday) — its presiding graha's walk."},"cosmic_resonances":[{"historical_date":"-3101-02-18","event":"Kali Yuga Epoch","chart_id":"kali-yuga-epoch","shared_marker":"same Aśvinī","url":"/day/-3101-02-18","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 13, 2164 CE · Vṛndāvana · Vidhyamitra","description":"July 13, 2164 CE for Vṛndāvana: Kṛṣṇa Navamī, sūryodaya 05:33, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2164-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2164-07-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2164-07-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2164-07-13","x-default":"https://vidhyamitra.com/city/vrindavan/2164-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T04:07:15.149Z","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":"2026-05-31T04:07:15.149Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T04:07:15.149Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}