{"id":"vidhyamitra:city-day:perth:1987-01-03:en","page_class":"VM-CD-city-day","url":"https://vidhyamitra.com/city/perth/1987-01-03","language":{"target_lang":"en","base_lang":"en","quality_tier":"canonical"},"data":{"date":"1987-01-03","date_display":"January 3, 1987 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":1987,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446798.770833,"kali_year":5088,"ahargana":1858333.2708,"sun":{"sidereal_longitude":258.2568,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":296.9035,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.6467,"elapsed_within_tithi_degrees":2.6467},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.9035,"elapsed_within_degrees":3.5701},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.1603},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"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":1987,"month":1,"day":3,"hour":6,"minute":30,"calendar":"gregorian"},"julian_day":2446798.770833,"ahargana":1858333.2708,"kali_year":5088,"ayanamsa_lahiri":23.6715,"grahas":{"sun":{"sidereal_longitude":258.443851,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":20,"name":"Pūrva Āṣāḍhā","pada":2},"retrograde":false},"moon":{"sidereal_longitude":299.338851,"rashi":{"number":10,"name":"Makara"},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2},"retrograde":false,"latitude":-3.8826},"mars":{"sidereal_longitude":332.647651,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":4},"retrograde":false},"mercury":{"sidereal_longitude":252.93285100000003,"rashi":{"number":9,"name":"Dhanu"},"nakshatra":{"number":19,"name":"Mūla","pada":4},"retrograde":false},"jupiter":{"sidereal_longitude":324.93465100000003,"rashi":{"number":11,"name":"Kumbha"},"nakshatra":{"number":25,"name":"Pūrva Bhādrapadā","pada":2},"retrograde":false},"venus":{"sidereal_longitude":212.366351,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":16,"name":"Viśākhā","pada":4},"retrograde":false},"saturn":{"sidereal_longitude":231.57415100000003,"rashi":{"number":8,"name":"Vṛścika"},"nakshatra":{"number":18,"name":"Jyeṣṭhā","pada":2},"retrograde":false},"rahu":{"sidereal_longitude":356.5604,"rashi":{"number":12,"name":"Mīna"},"nakshatra":{"number":27,"name":"Revatī","pada":3},"retrograde":false},"ketu":{"sidereal_longitude":176.5604,"rashi":{"number":6,"name":"Kanyā"},"nakshatra":{"number":14,"name":"Citrā","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":1987,"month":1,"day":3,"hour":6,"minute":30,"second":0,"calendar":"gregorian"},"julian_day":2446798.770833,"kali_year":5088,"ahargana":1858333.2708,"sun":{"sidereal_longitude":258.2568,"rashi":9,"rashi_name":"Dhanu"},"moon":{"sidereal_longitude":296.9035,"rashi":10,"rashi_name":"Makara"},"tithi":{"number":4,"name":"Caturthī","paksha":"Śukla","full_name":"Śukla Caturthī","elongation_degrees":38.6467,"elapsed_within_tithi_degrees":2.6467},"nakshatra":{"number":23,"name":"Dhaniṣṭhā","pada":2,"moon_longitude":296.9035,"elapsed_within_degrees":3.5701},"yoga":{"number":15,"name":"Vajra","sum_longitude":195.1603},"karana":{"half_tithi_index":6,"name":"Vaṇija"},"vara":{"number":1,"name":"Śanivāra (Saturday)"}},"eclipse_current":{"solar":{"type":"solar","occurs":false,"moon_latitude":-3.883,"elongation":38.647},"lunar":{"type":"lunar","occurs":false,"moon_latitude":-3.883,"opposition_distance":141.353}},"eclipse_window_40days":[]},"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"tier2":{"city":{"slug":"perth","name":"Perth, Australia","lat":-31.9505,"lon":115.8605,"tz_offset_hours":8,"country":"AU","tier":"diaspora"},"sunriseLocal":"05:16","sunsetLocal":"19:27","solarNoonLocal":"12:21","dayLengthHours":14.182721159606189,"dayLengthDisplay":"14 Hours 10 Mins 58 Secs","nightLengthDisplay":"9 Hours 49 Mins 02 Secs","moonriseLocal":"08:26","moonsetLocal":"21:43","rahuKala":{"name":"Rāhu Kāla","start":"08:48","end":"10:35","startHours":8.806776723942754,"endHours":10.579616868893527,"quality":"inauspicious"},"yamaganda":{"name":"Yamaganda","start":"14:08","end":"15:54","startHours":14.125297158795075,"endHours":15.898137303745848,"quality":"inauspicious"},"gulika":{"name":"Gulika Kāla","start":"05:16","end":"07:02","startHours":5.261096434041207,"endHours":7.03393657899198,"quality":"inauspicious"},"durMuhurta":[{"name":"Dur Muhūrta","start":"08:34","end":"09:03","startHours":8.570398037949317,"endHours":9.04315540993619,"quality":"avoid"}],"varjyam":{"name":"Varjyam","start":"05:51","end":"06:14","startHours":5.852043149024798,"endHours":6.230249046614296,"quality":"avoid"},"abhijit":{"name":"Abhijit Muhūrta","start":"11:53","end":"12:50","startHours":11.879699641857428,"endHours":12.825214385831174,"quality":"auspicious"},"brahmaMuhurta":{"name":"Brahma Muhūrta","start":"03:22","end":"04:19","startHours":3.370066946093715,"endHours":4.315581690067461,"quality":"auspicious"},"pratahSandhya":{"name":"Prātaḥ Sandhyā","start":"04:05","end":"05:16","startHours":4.079203004074024,"endHours":5.261096434041207,"quality":"auspicious"},"vijayaMuhurta":{"name":"Vijaya Muhūrta","start":"14:43","end":"15:40","startHours":14.716243873778666,"endHours":15.661758617752412,"quality":"auspicious"},"godhuliMuhurta":{"name":"Godhūli Muhūrta","start":"19:15","end":"19:39","startHours":19.243817593647396,"endHours":19.643817593647395,"quality":"auspicious"},"sayahnaSandhya":{"name":"Sāyāhna Sandhyā","start":"19:27","end":"20:02","startHours":19.443817593647395,"endHours":20.034764308630987,"quality":"auspicious"},"amritKala":{"name":"Amṛta Kāla","start":"19:12","end":"20:57","startHours":19.193817593647395,"endHours":20.943817593647395,"quality":"auspicious"},"nishitaMuhurta":{"name":"Niśīta Muhūrta","start":"23:53","end":"00:50","startHours":23.879699641857428,"endHours":24.825214385831174,"quality":"auspicious"},"dayChoghadiyas":[{"name":"Kāla","start":"05:16","end":"07:02","startHours":5.261096434041207,"endHours":7.03393657899198,"quality":"inauspicious"},{"name":"Śubha","start":"07:02","end":"08:48","startHours":7.03393657899198,"endHours":8.806776723942754,"quality":"auspicious"},{"name":"Roga","start":"08:48","end":"10:35","startHours":8.806776723942754,"endHours":10.579616868893527,"quality":"inauspicious"},{"name":"Udveg","start":"10:35","end":"12:21","startHours":10.579616868893527,"endHours":12.352457013844301,"quality":"inauspicious"},{"name":"Chala","start":"12:21","end":"14:08","startHours":12.352457013844301,"endHours":14.125297158795075,"quality":"neutral"},{"name":"Labha","start":"14:08","end":"15:54","startHours":14.125297158795075,"endHours":15.898137303745848,"quality":"auspicious"},{"name":"Amṛta","start":"15:54","end":"17:40","startHours":15.898137303745848,"endHours":17.670977448696622,"quality":"auspicious"},{"name":"Kāla","start":"17:40","end":"19:27","startHours":17.670977448696622,"endHours":19.443817593647395,"quality":"inauspicious"}],"nightChoghadiyas":[{"name":"Labha","start":"19:27","end":"20:40","startHours":19.443817593647395,"endHours":20.670977448696622,"quality":"auspicious"},{"name":"Amṛta","start":"20:40","end":"21:54","startHours":20.670977448696622,"endHours":21.898137303745848,"quality":"auspicious"},{"name":"Kāla","start":"21:54","end":"23:08","startHours":21.898137303745848,"endHours":23.125297158795075,"quality":"inauspicious"},{"name":"Śubha","start":"23:08","end":"00:21","startHours":23.125297158795075,"endHours":24.3524570138443,"quality":"auspicious"},{"name":"Roga","start":"00:21","end":"01:35","startHours":24.3524570138443,"endHours":25.579616868893527,"quality":"inauspicious"},{"name":"Udveg","start":"01:35","end":"02:48","startHours":25.579616868893527,"endHours":26.806776723942754,"quality":"inauspicious"},{"name":"Chala","start":"02:48","end":"04:02","startHours":26.806776723942754,"endHours":28.03393657899198,"quality":"neutral"},{"name":"Labha","start":"04:02","end":"05:16","startHours":28.03393657899198,"endHours":29.261096434041207,"quality":"auspicious"}],"horas":[{"name":"Hora 1","start":"05:16","end":"06:16","startHours":5.261096434041207,"endHours":6.261096434041207,"planetary_lord":"Saturn"},{"name":"Hora 2","start":"06:16","end":"07:16","startHours":6.261096434041207,"endHours":7.261096434041207,"planetary_lord":"Moon"},{"name":"Hora 3","start":"07:16","end":"08:16","startHours":7.261096434041207,"endHours":8.261096434041207,"planetary_lord":"Mercury"},{"name":"Hora 4","start":"08:16","end":"09:16","startHours":8.261096434041207,"endHours":9.261096434041207,"planetary_lord":"Venus"},{"name":"Hora 5","start":"09:16","end":"10:16","startHours":9.261096434041207,"endHours":10.261096434041207,"planetary_lord":"Sun"},{"name":"Hora 6","start":"10:16","end":"11:16","startHours":10.261096434041207,"endHours":11.261096434041207,"planetary_lord":"Mars"},{"name":"Hora 7","start":"11:16","end":"12:16","startHours":11.261096434041207,"endHours":12.261096434041207,"planetary_lord":"Jupiter"},{"name":"Hora 8","start":"12:16","end":"13:16","startHours":12.261096434041207,"endHours":13.261096434041207,"planetary_lord":"Saturn"},{"name":"Hora 9","start":"13:16","end":"14:16","startHours":13.261096434041207,"endHours":14.261096434041207,"planetary_lord":"Moon"},{"name":"Hora 10","start":"14:16","end":"15:16","startHours":14.261096434041207,"endHours":15.261096434041207,"planetary_lord":"Mercury"},{"name":"Hora 11","start":"15:16","end":"16:16","startHours":15.261096434041207,"endHours":16.261096434041207,"planetary_lord":"Venus"},{"name":"Hora 12","start":"16:16","end":"17:16","startHours":16.261096434041207,"endHours":17.261096434041207,"planetary_lord":"Sun"},{"name":"Hora 13","start":"17:16","end":"18:16","startHours":17.261096434041207,"endHours":18.261096434041207,"planetary_lord":"Mars"},{"name":"Hora 14","start":"18:16","end":"19:16","startHours":18.261096434041207,"endHours":19.261096434041207,"planetary_lord":"Jupiter"},{"name":"Hora 15","start":"19:16","end":"20:16","startHours":19.261096434041207,"endHours":20.261096434041207,"planetary_lord":"Saturn"},{"name":"Hora 16","start":"20:16","end":"21:16","startHours":20.261096434041207,"endHours":21.261096434041207,"planetary_lord":"Moon"},{"name":"Hora 17","start":"21:16","end":"22:16","startHours":21.261096434041207,"endHours":22.261096434041207,"planetary_lord":"Mercury"},{"name":"Hora 18","start":"22:16","end":"23:16","startHours":22.261096434041207,"endHours":23.261096434041207,"planetary_lord":"Venus"},{"name":"Hora 19","start":"23:16","end":"00:16","startHours":23.261096434041207,"endHours":24.261096434041207,"planetary_lord":"Sun"},{"name":"Hora 20","start":"00:16","end":"01:16","startHours":24.261096434041207,"endHours":25.261096434041207,"planetary_lord":"Mars"},{"name":"Hora 21","start":"01:16","end":"02:16","startHours":25.261096434041207,"endHours":26.261096434041207,"planetary_lord":"Jupiter"},{"name":"Hora 22","start":"02:16","end":"03:16","startHours":26.261096434041207,"endHours":27.261096434041207,"planetary_lord":"Saturn"},{"name":"Hora 23","start":"03:16","end":"04:16","startHours":27.261096434041207,"endHours":28.261096434041207,"planetary_lord":"Moon"},{"name":"Hora 24","start":"04:16","end":"05:16","startHours":28.261096434041207,"endHours":29.261096434041207,"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":["Mithuna","Karka","Tulā","Vṛścika","Makara","Mīna"],"unfavorable_rashis":["Meṣa","Vṛṣabha","Siṃha","Kanyā","Dhanu","Kumbha"]},"dishaShool":"East (Pūrva)","chandraVasa":"South-East","rahuVasa":"East","anandadiYoga":{"name":"Siddhi","quality":"Auspicious"},"tropicalRitu":"Hemanta (Pre-winter) (tropical)","vedicRitu":"Hemanta (Pre-winter)","tropicalAyana":"Uttarāyaṇa","vedicAyana":"Dakṣiṇāyana","meta":{"method":"BOB-History Sūrya-Siddhānta + Vidhyamitra Tier-2 spherical localization","declination":-22.884440950032452,"eotMinutes":-4.589420830658165,"ayanamsa":23.6715}},"calendars":{"vikram_samvat":2044,"vikram_samvatsara":"Vikrama","saka_samvat":1909,"saka_samvatsara":"Prabhava","bengali_samvat":1394,"malayalam_era":1163,"nanakshahi_year":518,"lunar_month":"Pauṣa","lunar_month_paksha_full":"Pauṣa Śukla Pakṣa","lunar_month_system":"purnimanta","lunar_month_purnimanta":"Pauṣa","lunar_month_amanta":"Pauṣa","lunar_month_is_adhika":false,"lunar_month_purnimanta_is_adhika":false,"lunar_month_amanta_is_adhika":false,"solar_month":"Dhanus (Mārgaḻi)","ritu":"Hemanta (Pre-winter)","display_summary":"Pauṣa Śukla Caturthī · Vikram 2044 Vikrama · Śaka 1909 Prabhava"},"festivals":[{"id":"vinayaka-chaturthi","name":"Vināyaka Caturthī (monthly)","name_sanskrit":"विनायक चतुर्थी","tradition":"Pan-Hindu","associated_deity":"Gaṇeśa","significance":"Monthly Śukla-pakṣa Caturthī; auspicious for new ventures.","vrata":true,"detection":{"tithi_number":4,"tithi_paksha":"Śukla"},"precedence":6}],"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":"perth"},"liturgical":{"opening":"जय श्री कृष्ण","closing":"ॐ तत् सत्","attribution":"Computed by Vidhyamitra Sūrya-Siddhānta substrate + Vidhyamitra Tier-2 layer"},"seo":{"title":"Pañchāṅga January 3, 1987 CE · Perth, Australia · Vidhyamitra","description":"January 3, 1987 CE for Perth, Australia: Śukla Caturthī, sūryodaya 05:16, sūryāsta 19:27.","schema_org_type":"Article","canonical":"https://vidhyamitra.com/city/perth/1987-01-03","hreflang_alternates":{"en":"https://vidhyamitra.com/city/perth/1987-01-03","sa":"https://sa.vidhyamitra.com/city/perth/1987-01-03","hi":"https://hi.vidhyamitra.com/city/perth/1987-01-03","x-default":"https://vidhyamitra.com/city/perth/1987-01-03"}},"provenance":[{"pillar":"BOB-History","pillar_version":"2.12.0","method":"Sūrya-Siddhānta first-principles + Bhāskara II + Kerala-school (Mādhava-Nīlakaṇṭha) corrections","retrieved_at":"2026-06-02T19:27:49.307Z","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":"2026-06-02T19:27:49.307Z","verification":{"type":"community-validated","markers":["modern-reference checked timing on Narasiṁha Jayantī 2026"],"confidence":"verified"}}],"meta":{"generated_at":"2026-06-02T19:27:49.307Z","pillar_versions":{"Sūrya-Siddhānta":"Pūrṇa","Vidhyamitra-Tier2":"Pūrṇa"}}}