{"id":"vidhyamitra:city-day:berlin:2162-07-01:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2162-07-01","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2162-07-01","date_display":"July 1, 2162 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":2162,"month":7,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510895.770833,"kali_year":5264,"ahargana":1922430.2708,"sun":{"sidereal_longitude":72.5616,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":304.1447,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.5831,"elapsed_within_tithi_degrees":3.5831},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":304.1447,"elapsed_within_degrees":10.8114},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.7063},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"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":2162,"month":7,"day":1,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2510895.770833,"ahargana":1922430.2708,"kali_year":5264,"ayanamsa_lahiri":26.1229,"grahas":{"sun":{"sidereal_longitude":73.267875,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":304.465375,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4},"retrograde":false,"latitude":4.3707},"mars":{"sidereal_longitude":97.998875,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":2},"retrograde":false},"mercury":{"sidereal_longitude":85.46847500000001,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":2},"retrograde":false},"jupiter":{"sidereal_longitude":255.562675,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":1},"retrograde":true},"venus":{"sidereal_longitude":116.33587499999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":9,"name":"Aśleṣā","pada":3},"retrograde":false},"saturn":{"sidereal_longitude":210.35097500000006,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":true},"rahu":{"sidereal_longitude":200.3929,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":16,"name":"Viśākhā","pada":1},"retrograde":false},"ketu":{"sidereal_longitude":20.3929,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2162,"month":7,"day":1,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2510895.770833,"kali_year":5264,"ahargana":1922430.2708,"sun":{"sidereal_longitude":72.5616,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":304.1447,"rashi":11,"rashi_name":"Kumbha"},"tithi":{"number":20,"name":"Pañcamī","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Pañcamī","elongation_degrees":231.5831,"elapsed_within_tithi_degrees":3.5831},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":4,"moon_longitude":304.1447,"elapsed_within_degrees":10.8114},"yoga":{"number":2,"name":"Prīti","sum_longitude":16.7063},"karana":{"half_tithi_index":38,"name":"Kaulava"},"vara":{"number":6,"name":"Guruvāra (Thursday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":4.371,"elongation":128.417},"lunar":{"type":"lunar","occurs":false,"moon_latitude":4.371,"opposition_distance":51.583}},"eclipse_window_40days":[]},"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"tier2":{"city":{"slug":"berlin","name":"Berlin, Germany","lat":52.52,"lon":13.405,"tz_offset_hours":1,"country":"DE","tier":"diaspora"},"sunriseLocal":"03:47","sunsetLocal":"20:32","solarNoonLocal":"12:10","dayLengthHours":16.748889051450867,"dayLengthDisplay":"16 Hours 44 Mins 56 Secs","nightLengthDisplay":"7 Hours 15 Mins 04 Secs","moonriseLocal":"22:31","moonsetLocal":"08:38","rahuKala":{"name":"Rāhu Kāla","start":"14:15","end":"16:21","startHours":14.257815884839209,"endHours":16.351427016270566,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"03:47","end":"05:53","startHours":3.7897602276824163,"endHours":5.883371359113775,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"07:59","end":"10:04","startHours":7.976982490545133,"endHours":10.070593621976492,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:42","end":"08:15","startHours":7.697834339687619,"endHours":8.256130641402647,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:29","end":"04:56","startHours":4.487630604826203,"endHours":4.934267646198226,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:36","end":"12:43","startHours":11.60590845169282,"endHours":12.722501055122876,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:33","end":"02:40","startHours":1.5565750208223008,"endHours":2.6731676242523585,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:24","end":"03:47","startHours":2.3940194733948443,"endHours":3.7897602276824163,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:57","end":"16:04","startHours":14.955686261982994,"endHours":16.07227886541305,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:20","end":"20:44","startHours":20.338649279133282,"endHours":20.73864927913328,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:32","end":"21:14","startHours":20.53864927913328,"endHours":21.236519656277068,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:17","end":"22:02","startHours":20.28864927913328,"endHours":22.03864927913328,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:36","end":"00:43","startHours":23.60590845169282,"endHours":24.722501055122876,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Śubha","start":"03:47","end":"05:53","startHours":3.7897602276824163,"endHours":5.883371359113775,"quality":"auspicious"},{"name":"Roga","start":"05:53","end":"07:59","startHours":5.883371359113775,"endHours":7.976982490545133,"quality":"inauspicious"},{"name":"Udveg","start":"07:59","end":"10:04","startHours":7.976982490545133,"endHours":10.070593621976492,"quality":"inauspicious"},{"name":"Chala","start":"10:04","end":"12:10","startHours":10.070593621976492,"endHours":12.16420475340785,"quality":"neutral"},{"name":"Labha","start":"12:10","end":"14:15","startHours":12.16420475340785,"endHours":14.257815884839209,"quality":"auspicious"},{"name":"Amṛta","start":"14:15","end":"16:21","startHours":14.257815884839209,"endHours":16.351427016270566,"quality":"auspicious"},{"name":"Kāla","start":"16:21","end":"18:27","startHours":16.351427016270566,"endHours":18.445038147701922,"quality":"inauspicious"},{"name":"Śubha","start":"18:27","end":"20:32","startHours":18.445038147701922,"endHours":20.53864927913328,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Amṛta","start":"20:32","end":"21:27","startHours":20.53864927913328,"endHours":21.445038147701922,"quality":"auspicious"},{"name":"Kāla","start":"21:27","end":"22:21","startHours":21.445038147701922,"endHours":22.351427016270563,"quality":"inauspicious"},{"name":"Śubha","start":"22:21","end":"23:15","startHours":22.351427016270563,"endHours":23.257815884839207,"quality":"auspicious"},{"name":"Roga","start":"23:15","end":"00:10","startHours":23.257815884839207,"endHours":24.164204753407848,"quality":"inauspicious"},{"name":"Udveg","start":"00:10","end":"01:04","startHours":24.164204753407848,"endHours":25.07059362197649,"quality":"inauspicious"},{"name":"Chala","start":"01:04","end":"01:59","startHours":25.07059362197649,"endHours":25.976982490545133,"quality":"neutral"},{"name":"Labha","start":"01:59","end":"02:53","startHours":25.976982490545133,"endHours":26.883371359113774,"quality":"auspicious"},{"name":"Amṛta","start":"02:53","end":"03:47","startHours":26.883371359113774,"endHours":27.789760227682414,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"03:47","end":"04:47","startHours":3.7897602276824163,"endHours":4.789760227682416,"planetary_lord":"Jupiter"},{"name":"Hora 2","start":"04:47","end":"05:47","startHours":4.789760227682416,"endHours":5.789760227682416,"planetary_lord":"Saturn"},{"name":"Hora 3","start":"05:47","end":"06:47","startHours":5.789760227682416,"endHours":6.789760227682416,"planetary_lord":"Moon"},{"name":"Hora 4","start":"06:47","end":"07:47","startHours":6.789760227682416,"endHours":7.789760227682416,"planetary_lord":"Mercury"},{"name":"Hora 5","start":"07:47","end":"08:47","startHours":7.789760227682416,"endHours":8.789760227682416,"planetary_lord":"Venus"},{"name":"Hora 6","start":"08:47","end":"09:47","startHours":8.789760227682416,"endHours":9.789760227682416,"planetary_lord":"Sun"},{"name":"Hora 7","start":"09:47","end":"10:47","startHours":9.789760227682416,"endHours":10.789760227682416,"planetary_lord":"Mars"},{"name":"Hora 8","start":"10:47","end":"11:47","startHours":10.789760227682416,"endHours":11.789760227682416,"planetary_lord":"Jupiter"},{"name":"Hora 9","start":"11:47","end":"12:47","startHours":11.789760227682416,"endHours":12.789760227682416,"planetary_lord":"Saturn"},{"name":"Hora 10","start":"12:47","end":"13:47","startHours":12.789760227682416,"endHours":13.789760227682416,"planetary_lord":"Moon"},{"name":"Hora 11","start":"13:47","end":"14:47","startHours":13.789760227682416,"endHours":14.789760227682416,"planetary_lord":"Mercury"},{"name":"Hora 12","start":"14:47","end":"15:47","startHours":14.789760227682416,"endHours":15.789760227682416,"planetary_lord":"Venus"},{"name":"Hora 13","start":"15:47","end":"16:47","startHours":15.789760227682416,"endHours":16.789760227682414,"planetary_lord":"Sun"},{"name":"Hora 14","start":"16:47","end":"17:47","startHours":16.789760227682414,"endHours":17.789760227682414,"planetary_lord":"Mars"},{"name":"Hora 15","start":"17:47","end":"18:47","startHours":17.789760227682414,"endHours":18.789760227682414,"planetary_lord":"Jupiter"},{"name":"Hora 16","start":"18:47","end":"19:47","startHours":18.789760227682414,"endHours":19.789760227682414,"planetary_lord":"Saturn"},{"name":"Hora 17","start":"19:47","end":"20:47","startHours":19.789760227682414,"endHours":20.789760227682414,"planetary_lord":"Moon"},{"name":"Hora 18","start":"20:47","end":"21:47","startHours":20.789760227682414,"endHours":21.789760227682414,"planetary_lord":"Mercury"},{"name":"Hora 19","start":"21:47","end":"22:47","startHours":21.789760227682414,"endHours":22.789760227682414,"planetary_lord":"Venus"},{"name":"Hora 20","start":"22:47","end":"23:47","startHours":22.789760227682414,"endHours":23.789760227682414,"planetary_lord":"Sun"},{"name":"Hora 21","start":"23:47","end":"00:47","startHours":23.789760227682414,"endHours":24.789760227682414,"planetary_lord":"Mars"},{"name":"Hora 22","start":"00:47","end":"01:47","startHours":24.789760227682414,"endHours":25.789760227682414,"planetary_lord":"Jupiter"},{"name":"Hora 23","start":"01:47","end":"02:47","startHours":25.789760227682414,"endHours":26.789760227682414,"planetary_lord":"Saturn"},{"name":"Hora 24","start":"02:47","end":"03:47","startHours":26.789760227682414,"endHours":27.789760227682414,"planetary_lord":"Moon"}],"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":["Meṣa","Karka","Siṃha","Vṛścika","Dhanu","Kumbha"],"unfavorable_rashis":["Vṛṣabha","Mithuna","Kanyā","Tulā","Makara","Mīna"]},"dishaShool":"South (Dakṣiṇa)","chandraVasa":"South","rahuVasa":"North-West","anandadiYoga":{"name":"Chatra","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":23.104055848648922,"eotMinutes":-3.4722852044708983,"ayanamsa":26.1229}},"calendars":{"vikram_samvat":2219,"vikram_samvatsara":"Yuva","saka_samvat":2084,"saka_samvatsara":"Dundubhi","bengali_samvat":1569,"malayalam_era":1338,"nanakshahi_year":693,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Āṣāḍha","lunar_month_amanta":"Jyeṣṭha","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 Kṛṣṇa Pañcamī · Vikram 2219 Yuva · Śaka 2084 Dundubhi"},"festivals":[],"todays_walk":{"walk":{"id":"guru-walk","name":"Bṛhaspati Walk","name_sanskrit":"गुरु यात्रा","type":"graha","description":"Wisdom transmission + BG 4.34.","step_count":8,"url":"/walk/guru-walk"},"reason":"Guruvāra (Thursday) — its presiding graha's walk."},"cosmic_resonances":[]},"validity":{"eternal":false,"location_specific":"berlin"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga July 1, 2162 CE · Berlin, Germany · Vidhyamitra","description":"July 1, 2162 CE for Berlin, Germany: Kṛṣṇa Pañcamī, sūryodaya 03:47, sūryāsta 20:32.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2162-07-01","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2162-07-01","sa":"https://sa.vidhyamitra.com/city/berlin/2162-07-01","hi":"https://hi.vidhyamitra.com/city/berlin/2162-07-01","x-default":"https://vidhyamitra.com/city/berlin/2162-07-01"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:54:28.097Z","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":"2026-06-02T19:54:28.097Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:54:28.097Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}