{"id":"vidhyamitra:city-day:berlin:2032-07-07:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/berlin/2032-07-07","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"2032-07-07","date_display":"July 7, 2032 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":2032,"month":7,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463420.770833,"kali_year":5134,"ahargana":1874955.2708,"sun":{"sidereal_longitude":80.7377,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":75.6249,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":354.8872,"elapsed_within_tithi_degrees":6.8872},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.6249,"elapsed_within_degrees":8.9582},"yoga":{"number":12,"name":"Dhruva","sum_longitude":156.3625},"karana":{"half_tithi_index":59,"name":"Nāga"},"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":2032,"month":7,"day":7,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2463420.770833,"ahargana":1874955.2708,"kali_year":5134,"ayanamsa_lahiri":24.3072,"grahas":{"sun":{"sidereal_longitude":81.19146899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"moon":{"sidereal_longitude":74.67996900000003,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":6,"name":"Ārdrā","pada":3},"retrograde":false,"latitude":-3.8874},"mars":{"sidereal_longitude":81.95706899999999,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":7,"name":"Punarvasu","pada":1},"retrograde":false},"mercury":{"sidereal_longitude":102.51036899999997,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":8,"name":"Puṣya","pada":3},"retrograde":true},"jupiter":{"sidereal_longitude":274.260769,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":21,"name":"Uttara Āṣāḍhā","pada":3},"retrograde":true},"venus":{"sidereal_longitude":90.24396899999999,"rashi":{"number":4,"name":"Karka"},"nakshatra":{"number":7,"name":"Punarvasu","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":64.60816899999998,"rashi":{"number":3,"name":"Mithuna"},"nakshatra":{"number":5,"name":"Mr̥gaśirā","pada":4},"retrograde":false},"rahu":{"sidereal_longitude":195.8468,"rashi":{"number":7,"name":"Tulā"},"nakshatra":{"number":15,"name":"Svātī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":15.8468,"rashi":{"number":1,"name":"Meṣa"},"nakshatra":{"number":2,"name":"Bharaṇī","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":2032,"month":7,"day":7,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2463420.770833,"kali_year":5134,"ahargana":1874955.2708,"sun":{"sidereal_longitude":80.7377,"rashi":3,"rashi_name":"Mithuna"},"moon":{"sidereal_longitude":75.6249,"rashi":3,"rashi_name":"Mithuna"},"tithi":{"number":30,"name":"Amāvasyā","paksha":"Kṛṣṇa","full_name":"Kṛṣṇa Amāvasyā","elongation_degrees":354.8872,"elapsed_within_tithi_degrees":6.8872},"nakshatra":{"number":6,"name":"Ārdrā","pada":3,"moon_longitude":75.6249,"elapsed_within_degrees":8.9582},"yoga":{"number":12,"name":"Dhruva","sum_longitude":156.3625},"karana":{"half_tithi_index":59,"name":"Nāga"},"vara":{"number":5,"name":"Budhavāra (Wednesday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.887,"elongation":5.113},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.887,"opposition_distance":174.887}},"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":"03:53","sunsetLocal":"20:29","solarNoonLocal":"12:11","dayLengthHours":16.605888822997244,"dayLengthDisplay":"16 Hours 36 Mins 21 Secs","nightLengthDisplay":"7 Hours 23 Mins 39 Secs","moonriseLocal":"03:24","moonsetLocal":"20:05","rahuKala":{"name":"Rāhu Kāla","start":"12:11","end":"14:15","startHours":12.181701665071694,"endHours":14.25743776794635,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"05:57","end":"08:02","startHours":5.954493356447728,"endHours":8.030229459322383,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"10:06","end":"12:11","startHours":10.105965562197039,"endHours":12.181701665071694,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"07:45","end":"08:18","startHours":7.753464645605762,"endHours":8.306994273039003,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"04:34","end":"05:01","startHours":4.570669287864624,"endHours":5.013492989811217,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:38","end":"12:44","startHours":11.628172037638452,"endHours":12.735231292504933,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"01:40","end":"02:46","startHours":1.6646387438401065,"endHours":2.771697998706589,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"02:30","end":"03:53","startHours":2.4949331849899687,"endHours":3.878757253573072,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:57","end":"16:03","startHours":14.9493498022379,"endHours":16.056409057104382,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"20:17","end":"20:41","startHours":20.284646076570315,"endHours":20.684646076570314,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"20:29","end":"21:11","startHours":20.484646076570314,"endHours":21.176558110861865,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"20:14","end":"21:59","startHours":20.234646076570314,"endHours":21.984646076570314,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:38","end":"00:44","startHours":23.62817203763845,"endHours":24.735231292504935,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Labha","start":"03:53","end":"05:57","startHours":3.878757253573072,"endHours":5.954493356447728,"quality":"auspicious"},{"name":"Amṛta","start":"05:57","end":"08:02","startHours":5.954493356447728,"endHours":8.030229459322383,"quality":"auspicious"},{"name":"Kāla","start":"08:02","end":"10:06","startHours":8.030229459322383,"endHours":10.105965562197039,"quality":"inauspicious"},{"name":"Śubha","start":"10:06","end":"12:11","startHours":10.105965562197039,"endHours":12.181701665071694,"quality":"auspicious"},{"name":"Roga","start":"12:11","end":"14:15","startHours":12.181701665071694,"endHours":14.25743776794635,"quality":"inauspicious"},{"name":"Udveg","start":"14:15","end":"16:20","startHours":14.25743776794635,"endHours":16.333173870821007,"quality":"inauspicious"},{"name":"Chala","start":"16:20","end":"18:25","startHours":16.333173870821007,"endHours":18.40890997369566,"quality":"neutral"},{"name":"Labha","start":"18:25","end":"20:29","startHours":18.40890997369566,"endHours":20.484646076570314,"quality":"auspicious"}],"nightChoghadiyas":[{"name":"Udveg","start":"20:29","end":"21:25","startHours":20.484646076570314,"endHours":21.408909973695657,"quality":"inauspicious"},{"name":"Chala","start":"21:25","end":"22:20","startHours":21.408909973695657,"endHours":22.333173870821003,"quality":"neutral"},{"name":"Labha","start":"22:20","end":"23:15","startHours":22.333173870821003,"endHours":23.25743776794635,"quality":"auspicious"},{"name":"Amṛta","start":"23:15","end":"00:11","startHours":23.25743776794635,"endHours":24.181701665071692,"quality":"auspicious"},{"name":"Kāla","start":"00:11","end":"01:06","startHours":24.181701665071692,"endHours":25.105965562197035,"quality":"inauspicious"},{"name":"Śubha","start":"01:06","end":"02:02","startHours":25.105965562197035,"endHours":26.03022945932238,"quality":"auspicious"},{"name":"Roga","start":"02:02","end":"02:57","startHours":26.03022945932238,"endHours":26.954493356447728,"quality":"inauspicious"},{"name":"Udveg","start":"02:57","end":"03:53","startHours":26.954493356447728,"endHours":27.87875725357307,"quality":"inauspicious"}],"horas":[{"name":"Hora 1","start":"03:53","end":"04:53","startHours":3.878757253573072,"endHours":4.878757253573072,"planetary_lord":"Mercury"},{"name":"Hora 2","start":"04:53","end":"05:53","startHours":4.878757253573072,"endHours":5.878757253573072,"planetary_lord":"Venus"},{"name":"Hora 3","start":"05:53","end":"06:53","startHours":5.878757253573072,"endHours":6.878757253573072,"planetary_lord":"Sun"},{"name":"Hora 4","start":"06:53","end":"07:53","startHours":6.878757253573072,"endHours":7.878757253573072,"planetary_lord":"Mars"},{"name":"Hora 5","start":"07:53","end":"08:53","startHours":7.878757253573072,"endHours":8.878757253573072,"planetary_lord":"Jupiter"},{"name":"Hora 6","start":"08:53","end":"09:53","startHours":8.878757253573072,"endHours":9.878757253573072,"planetary_lord":"Saturn"},{"name":"Hora 7","start":"09:53","end":"10:53","startHours":9.878757253573072,"endHours":10.878757253573072,"planetary_lord":"Moon"},{"name":"Hora 8","start":"10:53","end":"11:53","startHours":10.878757253573072,"endHours":11.878757253573072,"planetary_lord":"Mercury"},{"name":"Hora 9","start":"11:53","end":"12:53","startHours":11.878757253573072,"endHours":12.878757253573072,"planetary_lord":"Venus"},{"name":"Hora 10","start":"12:53","end":"13:53","startHours":12.878757253573072,"endHours":13.878757253573072,"planetary_lord":"Sun"},{"name":"Hora 11","start":"13:53","end":"14:53","startHours":13.878757253573072,"endHours":14.878757253573072,"planetary_lord":"Mars"},{"name":"Hora 12","start":"14:53","end":"15:53","startHours":14.878757253573072,"endHours":15.878757253573072,"planetary_lord":"Jupiter"},{"name":"Hora 13","start":"15:53","end":"16:53","startHours":15.878757253573072,"endHours":16.87875725357307,"planetary_lord":"Saturn"},{"name":"Hora 14","start":"16:53","end":"17:53","startHours":16.87875725357307,"endHours":17.87875725357307,"planetary_lord":"Moon"},{"name":"Hora 15","start":"17:53","end":"18:53","startHours":17.87875725357307,"endHours":18.87875725357307,"planetary_lord":"Mercury"},{"name":"Hora 16","start":"18:53","end":"19:53","startHours":18.87875725357307,"endHours":19.87875725357307,"planetary_lord":"Venus"},{"name":"Hora 17","start":"19:53","end":"20:53","startHours":19.87875725357307,"endHours":20.87875725357307,"planetary_lord":"Sun"},{"name":"Hora 18","start":"20:53","end":"21:53","startHours":20.87875725357307,"endHours":21.87875725357307,"planetary_lord":"Mars"},{"name":"Hora 19","start":"21:53","end":"22:53","startHours":21.87875725357307,"endHours":22.87875725357307,"planetary_lord":"Jupiter"},{"name":"Hora 20","start":"22:53","end":"23:53","startHours":22.87875725357307,"endHours":23.87875725357307,"planetary_lord":"Saturn"},{"name":"Hora 21","start":"23:53","end":"00:53","startHours":23.87875725357307,"endHours":24.87875725357307,"planetary_lord":"Moon"},{"name":"Hora 22","start":"00:53","end":"01:53","startHours":24.87875725357307,"endHours":25.87875725357307,"planetary_lord":"Mercury"},{"name":"Hora 23","start":"01:53","end":"02:53","startHours":25.87875725357307,"endHours":26.87875725357307,"planetary_lord":"Venus"},{"name":"Hora 24","start":"02:53","end":"03:53","startHours":26.87875725357307,"endHours":27.87875725357307,"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","Mithuna","Siṃha","Vṛścika","Dhanu","Mīna"],"unfavorable_rashis":["Vṛṣabha","Karka","Kanyā","Tulā","Makara","Kumbha"]},"dishaShool":"North (Uttara)","chandraVasa":"South","rahuVasa":"South-West","anandadiYoga":{"name":"Kāṇa","quality":"Inauspicious"},"drikRitu":"Grīṣma (Summer) (Drik)","vedicRitu":"Grīṣma (Summer)","drikAyana":"Dakṣiṇāyana","vedicAyana":"Uttarāyaṇa","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization (Drikpanchang-parity)","declination":22.536355660086127,"eotMinutes":-4.522099904301516,"ayanamsa":24.3072}},"calendars":{"vikram_samvat":2089,"vikram_samvatsara":"Krodhana","saka_samvat":1954,"saka_samvatsara":"Paridhāvi","bengali_samvat":1439,"malayalam_era":1208,"nanakshahi_year":563,"lunar_month":"Āṣāḍha","lunar_month_paksha_full":"Āṣāḍha Kṛṣṇa Pakṣa","solar_month":"Mithuna (Āni)","ritu":"Grīṣma (Summer)","display_summary":"Āṣāḍha Kṛṣṇa Amāvasyā · Vikram 2089 Krodhana · Śaka 1954 Paridhāvi"},"festivals":[{"id":"mithuna-sankranti","name":"Mithuna Saṅkrānti","name_sanskrit":"मिथुन सङ्क्रान्ति","tradition":"Pan-Hindu","significance":"Sun enters Gemini.","vrata":false,"detection":{"sun_rashi":"Mithuna"},"precedence":5}],"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":"-3137-10-20","event":"Karṇa-Vadha (Mahābhārata Day 17)","chart_id":"karna","shared_marker":"same Kṛṣṇa Amāvasyā","url":"/day/-3137-10-20","relevance":0.5}]},"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 7, 2032 CE · Berlin, Germany · Vidhyamitra","description":"July 7, 2032 CE for Berlin, Germany: Kṛṣṇa Amāvasyā, sūryodaya 03:53, sūryāsta 20:29.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/berlin/2032-07-07","hreflang_alternates":{"en":"https://vidhyamitra.com/city/berlin/2032-07-07","sa":"https://sa.vidhyamitra.com/city/berlin/2032-07-07","hi":"https://hi.vidhyamitra.com/city/berlin/2032-07-07","x-default":"https://vidhyamitra.com/city/berlin/2032-07-07"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-05-15T17:03:09.031Z","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":"2026-05-15T17:03:09.031Z","verification":{"type":"community-validated","markers":["matches Drikpanchang ±1 minute on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-05-15T17:03:09.031Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}