{"id":"vidhyamitra:city-day:vrindavan:2070-07-13:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2070-07-13","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2070-07-13","date_display":"July 13, 2070 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":2070,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477305.770833,"kali_year":5172,"ahargana":1888840.2708,"sun":{"sidereal_longitude":85.6294,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":149.7608,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":64.1314,"elapsed_within_tithi_degrees":4.1314},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":149.7608,"elapsed_within_degrees":3.0941},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.3902},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"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":2070,"month":7,"day":13,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2477305.770833,"ahargana":1888840.2708,"kali_year":5172,"ayanamsa_lahiri":24.8383,"grahas":{"sun":{"sidereal_longitude":86.21046000000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"moon":{"sidereal_longitude":151.67485999999997,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":2},"retrograde":false,"latitude":-2.2749},"mars":{"sidereal_longitude":124.28996000000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":109.80665999999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":1},"retrograde":false},"jupiter":{"sidereal_longitude":1.975059999999985,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":1},"retrograde":false},"venus":{"sidereal_longitude":61.953359999999975,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":167.77926000000002,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":3},"retrograde":false},"rahu":{"sidereal_longitude":180.1527,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":14,"name":"Citrā","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":0.1527,"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":2070,"month":7,"day":13,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2477305.770833,"kali_year":5172,"ahargana":1888840.2708,"sun":{"sidereal_longitude":85.6294,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":149.7608,"rashi":5,"rashi_name":"Siṃha"},"tithi":{"number":6,"name":"Ṣaṣṭhī","paksha":"Śukla","full_name":"Śukla Ṣaṣṭhī","elongation_degrees":64.1314,"elapsed_within_tithi_degrees":4.1314},"nakshatra":{"number":12,"name":"Uttara Phalgunī","pada":1,"moon_longitude":149.7608,"elapsed_within_degrees":3.0941},"yoga":{"number":18,"name":"Varīyān","sum_longitude":235.3902},"karana":{"half_tithi_index":10,"name":"Kaulava"},"vara":{"number":2,"name":"Ravivāra (Sunday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-2.275,"elongation":64.131},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-2.275,"opposition_distance":115.869}},"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":"19:17","solarNoonLocal":"12:25","dayLengthHours":13.744201648802871,"dayLengthDisplay":"13 Hours 44 Mins 39 Secs","nightLengthDisplay":"10 Hours 15 Mins 21 Secs","moonriseLocal":"10:41","moonsetLocal":"22:52","rahuKala":{"name":"Rāhu Kāla","start":"17:34","end":"19:17","startHours":17.56614609907042,"endHours":19.28417130517078,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"12:25","end":"14:08","startHours":12.412070480769344,"endHours":14.130095686869701,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"15:51","end":"17:34","startHours":15.848120892970062,"endHours":17.56614609907042,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:12","startHours":8.746950041088578,"endHours":9.205090096048673,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:07","end":"06:29","startHours":6.112644725068027,"endHours":6.479156769036104,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:57","end":"12:52","startHours":11.953930425809249,"endHours":12.87021053572944,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:42","end":"04:37","startHours":3.707409436527525,"endHours":4.623689546447716,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:24","end":"05:32","startHours":4.3946195189676684,"endHours":5.539969656367908,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.702770755569823,"endHours":15.619050865490014,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:05","end":"19:29","startHours":19.08417130517078,"endHours":19.48417130517078,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:17","end":"19:51","startHours":19.28417130517078,"endHours":19.8568463738709,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:02","end":"20:47","startHours":19.03417130517078,"endHours":20.78417130517078,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:57","end":"00:52","startHours":23.953930425809247,"endHours":24.87021053572944,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Udveg","start":"05:32","end":"07:15","startHours":5.539969656367908,"endHours":7.257994862468267,"quality":"inauspicious"},{"name":"Chala","start":"07:15","end":"08:59","startHours":7.257994862468267,"endHours":8.976020068568626,"quality":"neutral"},{"name":"Labha","start":"08:59","end":"10:42","startHours":8.976020068568626,"endHours":10.694045274668984,"quality":"auspicious"},{"name":"Amṛta","start":"10:42","end":"12:25","startHours":10.694045274668984,"endHours":12.412070480769344,"quality":"auspicious"},{"name":"Kāla","start":"12:25","end":"14:08","startHours":12.412070480769344,"endHours":14.130095686869701,"quality":"inauspicious"},{"name":"Śubha","start":"14:08","end":"15:51","startHours":14.130095686869701,"endHours":15.848120892970062,"quality":"auspicious"},{"name":"Roga","start":"15:51","end":"17:34","startHours":15.848120892970062,"endHours":17.56614609907042,"quality":"inauspicious"},{"name":"Udveg","start":"17:34","end":"19:17","startHours":17.56614609907042,"endHours":19.28417130517078,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Śubha","start":"19:17","end":"20:34","startHours":19.28417130517078,"endHours":20.566146099070423,"quality":"auspicious"},{"name":"Roga","start":"20:34","end":"21:51","startHours":20.566146099070423,"endHours":21.848120892970062,"quality":"inauspicious"},{"name":"Udveg","start":"21:51","end":"23:08","startHours":21.848120892970062,"endHours":23.1300956868697,"quality":"inauspicious"},{"name":"Chala","start":"23:08","end":"00:25","startHours":23.1300956868697,"endHours":24.412070480769344,"quality":"neutral"},{"name":"Labha","start":"00:25","end":"01:42","startHours":24.412070480769344,"endHours":25.694045274668987,"quality":"auspicious"},{"name":"Amṛta","start":"01:42","end":"02:59","startHours":25.694045274668987,"endHours":26.976020068568626,"quality":"auspicious"},{"name":"Kāla","start":"02:59","end":"04:15","startHours":26.976020068568626,"endHours":28.257994862468266,"quality":"inauspicious"},{"name":"Śubha","start":"04:15","end":"05:32","startHours":28.257994862468266,"endHours":29.53996965636791,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:32","end":"06:32","startHours":5.539969656367908,"endHours":6.539969656367908,"planetary_lord":"Sun"},{"name":"Hora 2","start":"06:32","end":"07:32","startHours":6.539969656367908,"endHours":7.539969656367908,"planetary_lord":"Mars"},{"name":"Hora 3","start":"07:32","end":"08:32","startHours":7.539969656367908,"endHours":8.539969656367909,"planetary_lord":"Jupiter"},{"name":"Hora 4","start":"08:32","end":"09:32","startHours":8.539969656367909,"endHours":9.539969656367909,"planetary_lord":"Saturn"},{"name":"Hora 5","start":"09:32","end":"10:32","startHours":9.539969656367909,"endHours":10.539969656367909,"planetary_lord":"Moon"},{"name":"Hora 6","start":"10:32","end":"11:32","startHours":10.539969656367909,"endHours":11.539969656367909,"planetary_lord":"Mercury"},{"name":"Hora 7","start":"11:32","end":"12:32","startHours":11.539969656367909,"endHours":12.539969656367909,"planetary_lord":"Venus"},{"name":"Hora 8","start":"12:32","end":"13:32","startHours":12.539969656367909,"endHours":13.539969656367909,"planetary_lord":"Sun"},{"name":"Hora 9","start":"13:32","end":"14:32","startHours":13.539969656367909,"endHours":14.539969656367909,"planetary_lord":"Mars"},{"name":"Hora 10","start":"14:32","end":"15:32","startHours":14.539969656367909,"endHours":15.539969656367909,"planetary_lord":"Jupiter"},{"name":"Hora 11","start":"15:32","end":"16:32","startHours":15.539969656367909,"endHours":16.53996965636791,"planetary_lord":"Saturn"},{"name":"Hora 12","start":"16:32","end":"17:32","startHours":16.53996965636791,"endHours":17.53996965636791,"planetary_lord":"Moon"},{"name":"Hora 13","start":"17:32","end":"18:32","startHours":17.53996965636791,"endHours":18.53996965636791,"planetary_lord":"Mercury"},{"name":"Hora 14","start":"18:32","end":"19:32","startHours":18.53996965636791,"endHours":19.53996965636791,"planetary_lord":"Venus"},{"name":"Hora 15","start":"19:32","end":"20:32","startHours":19.53996965636791,"endHours":20.53996965636791,"planetary_lord":"Sun"},{"name":"Hora 16","start":"20:32","end":"21:32","startHours":20.53996965636791,"endHours":21.53996965636791,"planetary_lord":"Mars"},{"name":"Hora 17","start":"21:32","end":"22:32","startHours":21.53996965636791,"endHours":22.53996965636791,"planetary_lord":"Jupiter"},{"name":"Hora 18","start":"22:32","end":"23:32","startHours":22.53996965636791,"endHours":23.53996965636791,"planetary_lord":"Saturn"},{"name":"Hora 19","start":"23:32","end":"00:32","startHours":23.53996965636791,"endHours":24.53996965636791,"planetary_lord":"Moon"},{"name":"Hora 20","start":"00:32","end":"01:32","startHours":24.53996965636791,"endHours":25.53996965636791,"planetary_lord":"Mercury"},{"name":"Hora 21","start":"01:32","end":"02:32","startHours":25.53996965636791,"endHours":26.53996965636791,"planetary_lord":"Venus"},{"name":"Hora 22","start":"02:32","end":"03:32","startHours":26.53996965636791,"endHours":27.53996965636791,"planetary_lord":"Sun"},{"name":"Hora 23","start":"03:32","end":"04:32","startHours":27.53996965636791,"endHours":28.53996965636791,"planetary_lord":"Mars"},{"name":"Hora 24","start":"04:32","end":"05:32","startHours":28.53996965636791,"endHours":29.53996965636791,"planetary_lord":"Jupiter"}],"taraBala":{"favorable_nakshatras":["Rohiṇī","Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Hasta","Citrā","Svātī","Viśākhā","Anurādhā","Śravaṇa","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Aśleṣā","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Jyeṣṭhā","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Revatī"],"nature":"Janma-tara if same nakshatra; favorable for 15 nakshatras"},"chandraBala":{"favorable_rashis":["Mithuna","Karka","Kanyā","Vṛścika","Kumbha","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Tulā","Dhanu","Makara"]},"dishaShool":"West (Paścim)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Maitra","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":21.78926125090566,"eotMinutes":-5.361428846160681,"ayanamsa":24.8383}},"calendars":{"vikram_samvat":2127,"vikram_samvatsara":"Śobhana","saka_samvat":1992,"saka_samvatsara":"Vikṛti","bengali_samvat":1477,"malayalam_era":1246,"nanakshahi_year":601,"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 Ṣaṣṭhī · Vikram 2127 Śobhana · Śaka 1992 Vikṛti"},"festivals":[],"todays_walk":{"walk":{"id":"surya-walk","name":"Sūrya Walk","name_sanskrit":"सूर्य यात्रा","type":"graha","description":"Self-illumination + BG 4.1 (Sun-lineage of Gītā transmission).","step_count":6,"url":"/walk/surya-walk"},"reason":"Ravivāra (Sunday) — 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 13, 2070 CE · Vṛndāvana · Vidhyamitra","description":"July 13, 2070 CE for Vṛndāvana: Śukla Ṣaṣṭhī, sūryodaya 05:32, sūryāsta 19:17.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2070-07-13","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2070-07-13","sa":"https://sa.vidhyamitra.com/city/vrindavan/2070-07-13","hi":"https://hi.vidhyamitra.com/city/vrindavan/2070-07-13","x-default":"https://vidhyamitra.com/city/vrindavan/2070-07-13"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-31T22:39:26.013Z","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":"2026-05-31T22:39:26.013Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-31T22:39:26.013Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}