{"id":"vidhyamitra:city-day:vrindavan:2165-07-15:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/vrindavan/2165-07-15","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2165-07-15","date_display":"July 15, 2165 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":2165,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512005.770833,"kali_year":5267,"ahargana":1923540.2708,"sun":{"sidereal_longitude":86.0254,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":163.183,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.1576,"elapsed_within_tithi_degrees":5.1576},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":163.183,"elapsed_within_degrees":3.183},"yoga":{"number":19,"name":"Parigha","sum_longitude":249.2084},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"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":2165,"month":7,"day":15,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2512005.770833,"ahargana":1923540.2708,"kali_year":5267,"ayanamsa_lahiri":26.1654,"grahas":{"sun":{"sidereal_longitude":86.83856400000002,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":3},"retrograde":false},"moon":{"sidereal_longitude":160.30566399999998,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":13,"name":"Hasta","pada":1},"retrograde":false,"latitude":1.6553},"mars":{"sidereal_longitude":18.732664,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":64.47326399999997,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":4.388463999999999,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":1,"name":"Aśvinī","pada":2},"retrograde":false},"venus":{"sidereal_longitude":122.39476400000001,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":10,"name":"Maghā","pada":1},"retrograde":false},"saturn":{"sidereal_longitude":245.78486399999997,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":2},"retrograde":true},"rahu":{"sidereal_longitude":141.5797,"rashi":{"number":5,"name":"Siṃha"},"nakshatra":{"number":11,"name":"Pūrva Phalgunī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":321.5797,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","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":2165,"month":7,"day":15,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2512005.770833,"kali_year":5267,"ahargana":1923540.2708,"sun":{"sidereal_longitude":86.0254,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":163.183,"rashi":6,"rashi_name":"Kanyā"},"tithi":{"number":7,"name":"Saptamī","paksha":"Śukla","full_name":"Śukla Saptamī","elongation_degrees":77.1576,"elapsed_within_tithi_degrees":5.1576},"nakshatra":{"number":13,"name":"Hasta","pada":1,"moon_longitude":163.183,"elapsed_within_degrees":3.183},"yoga":{"number":19,"name":"Parigha","sum_longitude":249.2084},"karana":{"half_tithi_index":12,"name":"Gara"},"vara":{"number":3,"name":"Somavāra (Monday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":1.655,"elongation":77.158},"lunar":{"type":"lunar","occurs":false,"moon_latitude":1.655,"opposition_distance":102.842}},"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":"19:16","solarNoonLocal":"12:25","dayLengthHours":13.717968208786475,"dayLengthDisplay":"13 Hours 43 Mins 05 Secs","nightLengthDisplay":"10 Hours 16 Mins 55 Secs","moonriseLocal":"11:22","moonsetLocal":"23:16","rahuKala":{"name":"Rāhu Kāla","start":"07:16","end":"08:59","startHours":7.271535440144657,"endHours":8.986281466242966,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"10:42","end":"12:25","startHours":10.701027492341275,"endHours":12.415773518439586,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"14:08","end":"15:51","startHours":14.130519544537895,"endHours":15.845265570636204,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:45","end":"09:13","startHours":8.757648662763192,"endHours":9.21491426972274,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"06:08","end":"06:30","startHours":6.128371422745784,"endHours":6.494183908313423,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:58","end":"12:52","startHours":11.958507911480037,"endHours":12.873039125399135,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:44","end":"04:39","startHours":3.7277269862081512,"endHours":4.642258200127249,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:25","end":"05:33","startHours":4.4136253966474746,"endHours":5.556789414046348,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:42","end":"15:37","startHours":14.70210155323733,"endHours":15.616632767156428,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:04","end":"19:28","startHours":19.074757622832824,"endHours":19.474757622832822,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:16","end":"19:51","startHours":19.274757622832823,"endHours":19.84633963153226,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:01","end":"20:46","startHours":19.024757622832823,"endHours":20.774757622832823,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:58","end":"00:52","startHours":23.958507911480037,"endHours":24.873039125399135,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Amṛta","start":"05:33","end":"07:16","startHours":5.556789414046348,"endHours":7.271535440144657,"quality":"auspicious"},{"name":"Kāla","start":"07:16","end":"08:59","startHours":7.271535440144657,"endHours":8.986281466242966,"quality":"inauspicious"},{"name":"Śubha","start":"08:59","end":"10:42","startHours":8.986281466242966,"endHours":10.701027492341275,"quality":"auspicious"},{"name":"Roga","start":"10:42","end":"12:25","startHours":10.701027492341275,"endHours":12.415773518439586,"quality":"inauspicious"},{"name":"Udveg","start":"12:25","end":"14:08","startHours":12.415773518439586,"endHours":14.130519544537895,"quality":"inauspicious"},{"name":"Chala","start":"14:08","end":"15:51","startHours":14.130519544537895,"endHours":15.845265570636204,"quality":"neutral"},{"name":"Labha","start":"15:51","end":"17:34","startHours":15.845265570636204,"endHours":17.560011596734512,"quality":"auspicious"},{"name":"Amṛta","start":"17:34","end":"19:16","startHours":17.560011596734512,"endHours":19.274757622832823,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Chala","start":"19:16","end":"20:34","startHours":19.274757622832823,"endHours":20.560011596734512,"quality":"neutral"},{"name":"Labha","start":"20:34","end":"21:51","startHours":20.560011596734512,"endHours":21.845265570636204,"quality":"auspicious"},{"name":"Amṛta","start":"21:51","end":"23:08","startHours":21.845265570636204,"endHours":23.130519544537893,"quality":"auspicious"},{"name":"Kāla","start":"23:08","end":"00:25","startHours":23.130519544537893,"endHours":24.415773518439586,"quality":"inauspicious"},{"name":"Śubha","start":"00:25","end":"01:42","startHours":24.415773518439586,"endHours":25.701027492341275,"quality":"auspicious"},{"name":"Roga","start":"01:42","end":"02:59","startHours":25.701027492341275,"endHours":26.986281466242964,"quality":"inauspicious"},{"name":"Udveg","start":"02:59","end":"04:16","startHours":26.986281466242964,"endHours":28.271535440144657,"quality":"inauspicious"},{"name":"Chala","start":"04:16","end":"05:33","startHours":28.271535440144657,"endHours":29.55678941404635,"quality":"neutral"}],"horas":[{"name":"Hora 1","start":"05:33","end":"06:33","startHours":5.556789414046348,"endHours":6.556789414046348,"planetary_lord":"Moon"},{"name":"Hora 2","start":"06:33","end":"07:33","startHours":6.556789414046348,"endHours":7.556789414046348,"planetary_lord":"Mercury"},{"name":"Hora 3","start":"07:33","end":"08:33","startHours":7.556789414046348,"endHours":8.556789414046348,"planetary_lord":"Venus"},{"name":"Hora 4","start":"08:33","end":"09:33","startHours":8.556789414046348,"endHours":9.556789414046348,"planetary_lord":"Sun"},{"name":"Hora 5","start":"09:33","end":"10:33","startHours":9.556789414046348,"endHours":10.556789414046348,"planetary_lord":"Mars"},{"name":"Hora 6","start":"10:33","end":"11:33","startHours":10.556789414046348,"endHours":11.556789414046348,"planetary_lord":"Jupiter"},{"name":"Hora 7","start":"11:33","end":"12:33","startHours":11.556789414046348,"endHours":12.556789414046348,"planetary_lord":"Saturn"},{"name":"Hora 8","start":"12:33","end":"13:33","startHours":12.556789414046348,"endHours":13.556789414046348,"planetary_lord":"Moon"},{"name":"Hora 9","start":"13:33","end":"14:33","startHours":13.556789414046348,"endHours":14.556789414046348,"planetary_lord":"Mercury"},{"name":"Hora 10","start":"14:33","end":"15:33","startHours":14.556789414046348,"endHours":15.556789414046348,"planetary_lord":"Venus"},{"name":"Hora 11","start":"15:33","end":"16:33","startHours":15.556789414046348,"endHours":16.55678941404635,"planetary_lord":"Sun"},{"name":"Hora 12","start":"16:33","end":"17:33","startHours":16.55678941404635,"endHours":17.55678941404635,"planetary_lord":"Mars"},{"name":"Hora 13","start":"17:33","end":"18:33","startHours":17.55678941404635,"endHours":18.55678941404635,"planetary_lord":"Jupiter"},{"name":"Hora 14","start":"18:33","end":"19:33","startHours":18.55678941404635,"endHours":19.55678941404635,"planetary_lord":"Saturn"},{"name":"Hora 15","start":"19:33","end":"20:33","startHours":19.55678941404635,"endHours":20.55678941404635,"planetary_lord":"Moon"},{"name":"Hora 16","start":"20:33","end":"21:33","startHours":20.55678941404635,"endHours":21.55678941404635,"planetary_lord":"Mercury"},{"name":"Hora 17","start":"21:33","end":"22:33","startHours":21.55678941404635,"endHours":22.55678941404635,"planetary_lord":"Venus"},{"name":"Hora 18","start":"22:33","end":"23:33","startHours":22.55678941404635,"endHours":23.55678941404635,"planetary_lord":"Sun"},{"name":"Hora 19","start":"23:33","end":"00:33","startHours":23.55678941404635,"endHours":24.55678941404635,"planetary_lord":"Mars"},{"name":"Hora 20","start":"00:33","end":"01:33","startHours":24.55678941404635,"endHours":25.55678941404635,"planetary_lord":"Jupiter"},{"name":"Hora 21","start":"01:33","end":"02:33","startHours":25.55678941404635,"endHours":26.55678941404635,"planetary_lord":"Saturn"},{"name":"Hora 22","start":"02:33","end":"03:33","startHours":26.55678941404635,"endHours":27.55678941404635,"planetary_lord":"Moon"},{"name":"Hora 23","start":"03:33","end":"04:33","startHours":27.55678941404635,"endHours":28.55678941404635,"planetary_lord":"Mercury"},{"name":"Hora 24","start":"04:33","end":"05:33","startHours":28.55678941404635,"endHours":29.55678941404635,"planetary_lord":"Venus"}],"taraBala":{"favorable_nakshatras":["Mṛgaśirā","Ārdrā","Punarvasu","Puṣya","Aśleṣā","Citrā","Svātī","Viśākhā","Anurādhā","Jyeṣṭhā","Dhaniṣṭhā","Śatabhiṣaj","Pūrva Bhādrapadā","Uttara Bhādrapadā","Revatī"],"unfavorable_nakshatras":["Aśvinī","Bharaṇī","Kṛttikā","Rohiṇī","Maghā","Pūrva Phalgunī","Uttara Phalgunī","Hasta","Mūla","Pūrva Āṣāḍhā","Uttara Āṣāḍhā","Śravaṇa"],"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":"East (Pūrva)","chandraVasa":"North-West","rahuVasa":"North-East","anandadiYoga":{"name":"Mṛtyu","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":21.47553489965868,"eotMinutes":-5.583611106375076,"ayanamsa":26.1654}},"calendars":{"vikram_samvat":2222,"vikram_samvatsara":"Bahudhānya","saka_samvat":2087,"saka_samvatsara":"Krodhana","bengali_samvat":1572,"malayalam_era":1341,"nanakshahi_year":696,"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 Saptamī · Vikram 2222 Bahudhānya · Śaka 2087 Krodhana"},"festivals":[],"todays_walk":{"walk":{"id":"chandra-walk","name":"Candra Walk","name_sanskrit":"चन्द्र यात्रा","type":"graha","description":"Manas-control + BG 6.5-7.","step_count":5,"url":"/walk/chandra-walk"},"reason":"Somavāra (Monday) — 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 15, 2165 CE · Vṛndāvana · Vidhyamitra","description":"July 15, 2165 CE for Vṛndāvana: Śukla Saptamī, sūryodaya 05:33, sūryāsta 19:16.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/vrindavan/2165-07-15","hreflang_alternates":{"en":"https://vidhyamitra.com/city/vrindavan/2165-07-15","sa":"https://sa.vidhyamitra.com/city/vrindavan/2165-07-15","hi":"https://hi.vidhyamitra.com/city/vrindavan/2165-07-15","x-default":"https://vidhyamitra.com/city/vrindavan/2165-07-15"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-01T06:55:43.603Z","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":"2026-06-01T06:55:43.603Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-01T06:55:43.603Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}