{"id":"vidhyamitra:city-day:vrindavan:2067-07-20:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2067-07-20","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2067-07-20","date_display":"July 20, 2067 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":2067,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476216.770833,"kali_year":5169,"ahargana":1887751.2708,"sun":{"sidereal_longitude":92.0484,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":191.1188,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":99.0704,"elapsed_within_tithi_degrees":3.0704},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.1188,"elapsed_within_degrees":4.4521},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.1672},"karana":{"half_tithi_index":16,"name":"Bālava"},"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":2067,"month":7,"day":20,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2476216.770833,"ahargana":1887751.2708,"kali_year":5169,"ayanamsa_lahiri":24.7966,"grahas":{"sun":{"sidereal_longitude":92.667167,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":188.16436699999997,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":1},"retrograde":false,"latitude":-3.2752},"mars":{"sidereal_longitude":339.590067,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":26,"name":"Uttara Bhādrapadā","pada":2},"retrograde":true},"mercury":{"sidereal_longitude":76.73486700000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":250.560967,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":true},"venus":{"sidereal_longitude":88.489667,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":133.050967,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":237.8532,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":4},"retrograde":false},"ketu":{"sidereal_longitude":57.8532,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","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":2067,"month":7,"day":20,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2476216.770833,"kali_year":5169,"ahargana":1887751.2708,"sun":{"sidereal_longitude":92.0484,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":191.1188,"rashi":7,"rashi_name":"Tulā"},"tithi":{"number":9,"name":"Navamī","paksha":"Śukla","full_name":"Śukla Navamī","elongation_degrees":99.0704,"elapsed_within_tithi_degrees":3.0704},"nakshatra":{"number":15,"name":"Svātī","pada":2,"moon_longitude":191.1188,"elapsed_within_degrees":4.4521},"yoga":{"number":22,"name":"Sādhya","sum_longitude":283.1672},"karana":{"half_tithi_index":16,"name":"Bālava"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.275,"elongation":99.07},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.275,"opposition_distance":80.93}},"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":"05:36","sunsetLocal":"19:15","solarNoonLocal":"12:25","dayLengthHours":13.650849818645689,"dayLengthDisplay":"13 Hours 39 Mins 03 Secs","nightLengthDisplay":"10 Hours 20 Mins 57 Secs","moonriseLocal":"13:11","moonsetLocal":"00:23","rahuKala":{"name":"Rāhu Kāla","start":"12:25","end":"14:08","startHours":12.422617020252623,"endHours":14.128973247583335,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"07:18","end":"09:01","startHours":7.303548338260489,"endHours":9.0099045655912,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:43","end":"12:25","startHours":10.716260792921911,"endHours":12.422617020252623,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:47","end":"09:14","startHours":8.782390401947104,"endHours":9.237418729235294,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:10","end":"06:32","startHours":6.165977520040015,"endHours":6.530000181870567,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.967588692964434,"endHours":12.877645347540813,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:47","end":"04:41","startHours":3.7770788017770194,"endHours":4.687135456353399,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:28","end":"05:36","startHours":4.459621292709304,"endHours":5.597192110929778,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:36","startHours":14.697758656693573,"endHours":15.607815311269952,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.04804192957547,"endHours":19.448041929575467,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:49","startHours":19.248041929575468,"endHours":19.816827338685705,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":18.998041929575468,"endHours":20.748041929575468,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.967588692964434,"endHours":24.877645347540813,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"05:36","end":"07:18","startHours":5.597192110929778,"endHours":7.303548338260489,"quality":"auspicious"},{"name":"Amṛta","start":"07:18","end":"09:01","startHours":7.303548338260489,"endHours":9.0099045655912,"quality":"auspicious"},{"name":"Kāla","start":"09:01","end":"10:43","startHours":9.0099045655912,"endHours":10.716260792921911,"quality":"inauspicious"},{"name":"Śubha","start":"10:43","end":"12:25","startHours":10.716260792921911,"endHours":12.422617020252623,"quality":"auspicious"},{"name":"Roga","start":"12:25","end":"14:08","startHours":12.422617020252623,"endHours":14.128973247583335,"quality":"inauspicious"},{"name":"Udveg","start":"14:08","end":"15:50","startHours":14.128973247583335,"endHours":15.835329474914044,"quality":"inauspicious"},{"name":"Chala","start":"15:50","end":"17:33","startHours":15.835329474914044,"endHours":17.541685702244756,"quality":"neutral"},{"name":"Labha","start":"17:33","end":"19:15","startHours":17.541685702244756,"endHours":19.248041929575468,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"19:15","end":"20:33","startHours":19.248041929575468,"endHours":20.541685702244756,"quality":"inauspicious"},{"name":"Chala","start":"20:33","end":"21:50","startHours":20.541685702244756,"endHours":21.835329474914047,"quality":"neutral"},{"name":"Labha","start":"21:50","end":"23:08","startHours":21.835329474914047,"endHours":23.128973247583335,"quality":"auspicious"},{"name":"Amṛta","start":"23:08","end":"00:25","startHours":23.128973247583335,"endHours":24.422617020252623,"quality":"auspicious"},{"name":"Kāla","start":"00:25","end":"01:43","startHours":24.422617020252623,"endHours":25.71626079292191,"quality":"inauspicious"},{"name":"Śubha","start":"01:43","end":"03:01","startHours":25.71626079292191,"endHours":27.0099045655912,"quality":"auspicious"},{"name":"Roga","start":"03:01","end":"04:18","startHours":27.0099045655912,"endHours":28.30354833826049,"quality":"inauspicious"},{"name":"Udveg","start":"04:18","end":"05:36","startHours":28.30354833826049,"endHours":29.59719211092978,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"05:36","end":"06:36","startHours":5.597192110929778,"endHours":6.597192110929778,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"06:36","end":"07:36","startHours":6.597192110929778,"endHours":7.597192110929778,"planetary_lord":"Venus"},{"name":"Hora 3","start":"07:36","end":"08:36","startHours":7.597192110929778,"endHours":8.597192110929779,"planetary_lord":"Sun"},{"name":"Hora 4","start":"08:36","end":"09:36","startHours":8.597192110929779,"endHours":9.597192110929779,"planetary_lord":"Mars"},{"name":"Hora 5","start":"09:36","end":"10:36","startHours":9.597192110929779,"endHours":10.597192110929779,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"10:36","end":"11:36","startHours":10.597192110929779,"endHours":11.597192110929779,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"11:36","end":"12:36","startHours":11.597192110929779,"endHours":12.597192110929779,"planetary_lord":"Moon"},{"name":"Hora 8","start":"12:36","end":"13:36","startHours":12.597192110929779,"endHours":13.597192110929779,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"13:36","end":"14:36","startHours":13.597192110929779,"endHours":14.597192110929779,"planetary_lord":"Venus"},{"name":"Hora 10","start":"14:36","end":"15:36","startHours":14.597192110929779,"endHours":15.597192110929779,"planetary_lord":"Sun"},{"name":"Hora 11","start":"15:36","end":"16:36","startHours":15.597192110929779,"endHours":16.59719211092978,"planetary_lord":"Mars"},{"name":"Hora 12","start":"16:36","end":"17:36","startHours":16.59719211092978,"endHours":17.59719211092978,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"17:36","end":"18:36","startHours":17.59719211092978,"endHours":18.59719211092978,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"18:36","end":"19:36","startHours":18.59719211092978,"endHours":19.59719211092978,"planetary_lord":"Moon"},{"name":"Hora 15","start":"19:36","end":"20:36","startHours":19.59719211092978,"endHours":20.59719211092978,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"20:36","end":"21:36","startHours":20.59719211092978,"endHours":21.59719211092978,"planetary_lord":"Venus"},{"name":"Hora 17","start":"21:36","end":"22:36","startHours":21.59719211092978,"endHours":22.59719211092978,"planetary_lord":"Sun"},{"name":"Hora 18","start":"22:36","end":"23:36","startHours":22.59719211092978,"endHours":23.59719211092978,"planetary_lord":"Mars"},{"name":"Hora 19","start":"23:36","end":"00:36","startHours":23.59719211092978,"endHours":24.59719211092978,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"00:36","end":"01:36","startHours":24.59719211092978,"endHours":25.59719211092978,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"01:36","end":"02:36","startHours":25.59719211092978,"endHours":26.59719211092978,"planetary_lord":"Moon"},{"name":"Hora 22","start":"02:36","end":"03:36","startHours":26.59719211092978,"endHours":27.59719211092978,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"03:36","end":"04:36","startHours":27.59719211092978,"endHours":28.59719211092978,"planetary_lord":"Venus"},{"name":"Hora 24","start":"04:36","end":"05:36","startHours":28.59719211092978,"endHours":29.59719211092978,"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","Tulā","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Vṛścika","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"North","rahuVasa":"South-West","anandadiYoga":{"name":"Sushira","quality":"Auspicious"},"tropicalRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","tropicalAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":20.66535043058419,"eotMinutes":-5.99422121515736,"ayanamsa":24.7966}},"calendars":{"vikram_samvat":2124,"vikram_samvatsara":"Śārvarī","saka_samvat":1989,"saka_samvatsara":"Sarvajit","bengali_samvat":1474,"malayalam_era":1243,"nanakshahi_year":598,"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":"Karkaṭa (Āḍi)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Śukla Navamī · Vikram 2124 Śārvarī · Śaka 1989 Sarvajit"},"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":[{"historical_date":"-1626101-04-03","event":"Bhagavān Rāma's birth at Ayodhyā","chart_id":"rama","shared_marker":"same Śukla Navamī","url":"/day/-1626101-04-03","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 20, 2067 CE · Vṛndāvana · Vidhyamitra","description":"July 20, 2067 CE for Vṛndāvana: Śukla Navamī, sūryodaya 05:36, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2067-07-20","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2067-07-20","sa":"https://sa.vidhyamitra.com/city/vrindavan/2067-07-20","hi":"https://hi.vidhyamitra.com/city/vrindavan/2067-07-20","x-default":"https://vidhyamitra.com/city/vrindavan/2067-07-20"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T11:54:50.029Z","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":"2026-06-01T11:54:50.029Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T11:54:50.029Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}