{"id":"vidhyamitra:city-day:vrindavan:2020-07-18:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2020-07-18","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2020-07-18","date_display":"July 18, 2020 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":2020,"month":7,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459048.770833,"kali_year":5122,"ahargana":1870583.2708,"sun":{"sidereal_longitude":91.2538,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":57.7145,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.4607,"elapsed_within_tithi_degrees":2.4607},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.7145,"elapsed_within_degrees":4.3812},"yoga":{"number":12,"name":"Dhruva","sum_longitude":148.9683},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"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":2020,"month":7,"day":18,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2459048.770833,"ahargana":1870583.2708,"kali_year":5122,"ayanamsa_lahiri":24.14,"grahas":{"sun":{"sidereal_longitude":91.75311099999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"moon":{"sidereal_longitude":58.676311,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":2},"retrograde":false,"latitude":-0.7638},"mars":{"sidereal_longitude":346.91781100000003,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":72.341411,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":267.7165110000001,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":49.07541100000003,"rashi":{"number":2,"name":"Vṛṣabha"},"nakshatra":{"number":4,"name":"Rohiṇī","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":274.69431099999997,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"rahu":{"sidereal_longitude":67.4964,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":247.4964,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","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":2020,"month":7,"day":18,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2459048.770833,"kali_year":5122,"ahargana":1870583.2708,"sun":{"sidereal_longitude":91.2538,"rashi":4,"rashi_name":"Karka"},"moon":{"sidereal_longitude":57.7145,"rashi":2,"rashi_name":"Vṛṣabha"},"tithi":{"number":28,"name":"Trayodaśī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Trayodaśī","elongation_degrees":326.4607,"elapsed_within_tithi_degrees":2.4607},"nakshatra":{"number":5,"name":"Mṛgaśīrṣā","pada":2,"moon_longitude":57.7145,"elapsed_within_degrees":4.3812},"yoga":{"number":12,"name":"Dhruva","sum_longitude":148.9683},"karana":{"half_tithi_index":54,"name":"Gara"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-0.764,"elongation":33.539},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-0.764,"opposition_distance":146.461}},"eclipse_window_40days":[{"offset_days":-13,"type":"lunar","occurs":true,"moon_latitude":-0.833,"opposition_distance":0.084}]},"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":"05:35","sunsetLocal":"19:15","solarNoonLocal":"12:25","dayLengthHours":13.67560382621638,"dayLengthDisplay":"13 Hours 40 Mins 32 Secs","nightLengthDisplay":"10 Hours 19 Mins 28 Secs","moonriseLocal":"03:18","moonsetLocal":"17:08","rahuKala":{"name":"Rāhu Kāla","start":"09:00","end":"10:43","startHours":9.001410978787725,"endHours":10.710861457064771,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:08","end":"15:50","startHours":14.129762413618867,"endHours":15.839212891895913,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:35","end":"07:18","startHours":5.582510022233629,"endHours":7.291960500510677,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:46","end":"09:14","startHours":8.773484248350783,"endHours":9.229337709224664,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:09","end":"06:31","startHours":6.152326848325979,"endHours":6.517009617025082,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:53","startHours":11.96445847446794,"endHours":12.876165396215697,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:46","end":"04:40","startHours":3.759096178738112,"endHours":4.6708031004858706,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:27","end":"05:35","startHours":4.442876370048931,"endHours":5.582510022233629,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.699579239711214,"endHours":15.611286161458972,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:03","end":"19:27","startHours":19.05811384845001,"endHours":19.458113848450008,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:15","end":"19:50","startHours":19.25811384845001,"endHours":19.82793067454236,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:00","end":"20:45","startHours":19.00811384845001,"endHours":20.75811384845001,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:53","startHours":23.96445847446794,"endHours":24.876165396215697,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:35","end":"07:18","startHours":5.582510022233629,"endHours":7.291960500510677,"quality":"inauspicious"},{"name":"Śubha","start":"07:18","end":"09:00","startHours":7.291960500510677,"endHours":9.001410978787725,"quality":"auspicious"},{"name":"Roga","start":"09:00","end":"10:43","startHours":9.001410978787725,"endHours":10.710861457064771,"quality":"inauspicious"},{"name":"Udveg","start":"10:43","end":"12:25","startHours":10.710861457064771,"endHours":12.420311935341818,"quality":"inauspicious"},{"name":"Chala","start":"12:25","end":"14:08","startHours":12.420311935341818,"endHours":14.129762413618867,"quality":"neutral"},{"name":"Labha","start":"14:08","end":"15:50","startHours":14.129762413618867,"endHours":15.839212891895913,"quality":"auspicious"},{"name":"Amṛta","start":"15:50","end":"17:33","startHours":15.839212891895913,"endHours":17.54866337017296,"quality":"auspicious"},{"name":"Kāla","start":"17:33","end":"19:15","startHours":17.54866337017296,"endHours":19.25811384845001,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:15","end":"20:33","startHours":19.25811384845001,"endHours":20.54866337017296,"quality":"auspicious"},{"name":"Amṛta","start":"20:33","end":"21:50","startHours":20.54866337017296,"endHours":21.839212891895915,"quality":"auspicious"},{"name":"Kāla","start":"21:50","end":"23:08","startHours":21.839212891895915,"endHours":23.129762413618867,"quality":"inauspicious"},{"name":"Śubha","start":"23:08","end":"00:25","startHours":23.129762413618867,"endHours":24.420311935341818,"quality":"auspicious"},{"name":"Roga","start":"00:25","end":"01:43","startHours":24.420311935341818,"endHours":25.710861457064773,"quality":"inauspicious"},{"name":"Udveg","start":"01:43","end":"03:00","startHours":25.710861457064773,"endHours":27.001410978787725,"quality":"inauspicious"},{"name":"Chala","start":"03:00","end":"04:18","startHours":27.001410978787725,"endHours":28.291960500510676,"quality":"neutral"},{"name":"Labha","start":"04:18","end":"05:35","startHours":28.291960500510676,"endHours":29.582510022233627,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:35","end":"06:35","startHours":5.582510022233629,"endHours":6.582510022233629,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:35","end":"07:35","startHours":6.582510022233629,"endHours":7.582510022233629,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:35","end":"08:35","startHours":7.582510022233629,"endHours":8.58251002223363,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:35","end":"09:35","startHours":8.58251002223363,"endHours":9.58251002223363,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:35","end":"10:35","startHours":9.58251002223363,"endHours":10.58251002223363,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:35","end":"11:35","startHours":10.58251002223363,"endHours":11.58251002223363,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:35","end":"12:35","startHours":11.58251002223363,"endHours":12.58251002223363,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:35","end":"13:35","startHours":12.58251002223363,"endHours":13.58251002223363,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:35","end":"14:35","startHours":13.58251002223363,"endHours":14.58251002223363,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:35","end":"15:35","startHours":14.58251002223363,"endHours":15.58251002223363,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:35","end":"16:35","startHours":15.58251002223363,"endHours":16.582510022233627,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:35","end":"17:35","startHours":16.582510022233627,"endHours":17.582510022233627,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:35","end":"18:35","startHours":17.582510022233627,"endHours":18.582510022233627,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:35","end":"19:35","startHours":18.582510022233627,"endHours":19.582510022233627,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:35","end":"20:35","startHours":19.582510022233627,"endHours":20.582510022233627,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:35","end":"21:35","startHours":20.582510022233627,"endHours":21.582510022233627,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:35","end":"22:35","startHours":21.582510022233627,"endHours":22.582510022233627,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:35","end":"23:35","startHours":22.582510022233627,"endHours":23.582510022233627,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:35","end":"00:35","startHours":23.582510022233627,"endHours":24.582510022233627,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:35","end":"01:35","startHours":24.582510022233627,"endHours":25.582510022233627,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:35","end":"02:35","startHours":25.582510022233627,"endHours":26.582510022233627,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:35","end":"03:35","startHours":26.582510022233627,"endHours":27.582510022233627,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:35","end":"04:35","startHours":27.582510022233627,"endHours":28.582510022233627,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:35","end":"05:35","startHours":28.582510022233627,"endHours":29.582510022233627,"planetary_lord":"Mercury"}],"taraBala":{"favorable_nakshatras":["Aśvinī","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Maghā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Mūla","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Bharaṇī","Kṛttikā","Rohiṇī","Mṛgaśirā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Citrā","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa","Dhaniṣṭhā"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Vṛṣabha","Karka","Tulā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Mithuna","Siṃha","Kanyā","Dhanu","Makara"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Ānanda","quality":"Auspicious"},"drikRitu":"Grīṣma (Summer)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":20.965406464433933,"eotMinutes":-5.85591612050904,"ayanamsa":24.14}},"calendars":{"vikram_samvat":2077,"vikram_samvatsara":"Pramādī","saka_samvat":1942,"saka_samvatsara":"Śārvarī","bengali_samvat":1427,"malayalam_era":1196,"nanakshahi_year":551,"lunar_month":"Śrāvaṇa","lunar_month_paksha_full":"Śrāvaṇa Kṛṣṇa Pakṣa","solar_month":"Karkaṭa (Āḍi)","ritu":"Varṣā (Monsoon)","display_summary":"Śrāvaṇa Kṛṣṇa Trayodaśī · Vikram 2077 Pramādī · Śaka 1942 Śārvarī"},"festivals":[{"id":"karka-sankranti","name":"Karka Saṅkrānti (Dakṣiṇāyana)","name_sanskrit":"कर्क सङ्क्रान्ति","tradition":"Pan-Hindu","associated_deity":"Sūrya Bhagavān","significance":"Sun enters Cancer; Dakṣiṇāyana (south-going) begins. Devatā-rātri begins.","vrata":true,"detection":{"sun_rashi":"Karka"},"precedence":2},{"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":"shani-walk","name":"Śani Walk","name_sanskrit":"शनि यात्रा","type":"graha","description":"Tapas + endurance + BG 17.14-19.","step_count":7,"url":"/walk/shani-walk"},"reason":"Śanivāra (Saturday) — 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 July 18, 2020 CE · Vṛndāvana · Vidhyamitra","description":"July 18, 2020 CE for Vṛndāvana: Kṛṣṇa Trayodaśī, sūryodaya 05:35, sūryāsta 19:15.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2020-07-18","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2020-07-18","sa":"https://sa.vidhyamitra.com/city/vrindavan/2020-07-18","hi":"https://hi.vidhyamitra.com/city/vrindavan/2020-07-18","x-default":"https://vidhyamitra.com/city/vrindavan/2020-07-18"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T06:20:32.470Z","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":"2026-05-15T06:20:32.470Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T06:20:32.470Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}